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Finding the Third Proportional to 525,496,767.75 and 739,176,266.25

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Solution

The third proportional to 525,496,767.75 and 739,176,266.25 is: 1,039,742,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,496,767.75 : 739,176,266.25 = 739,176,266.25 : x
  2. Step 2: Convert to fraction form
    525,496,767.75/739,176,266.25 = 739,176,266.25/x
  3. Step 3: Cross multiply
    525,496,767.75x = 739,176,266.25 × 739,176,266.25
  4. Step 4: Simplify right side
    525,496,767.75x = 546,381,552,587,290,880
  5. Step 5: Solve for x
    x = 546,381,552,587,290,880/525,496,767.75
  6. Step 6: Final answer
    x = 1,039,742,936.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.