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Finding the Third Proportional to 525,496,776 and 739,176,276

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Solution

The third proportional to 525,496,776 and 739,176,276 is: 1,039,742,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,496,776 : 739,176,276 = 739,176,276 : x
  2. Step 2: Convert to fraction form
    525,496,776/739,176,276 = 739,176,276/x
  3. Step 3: Cross multiply
    525,496,776x = 739,176,276 × 739,176,276
  4. Step 4: Simplify right side
    525,496,776x = 546,381,567,001,228,160
  5. Step 5: Solve for x
    x = 546,381,567,001,228,160/525,496,776
  6. Step 6: Final answer
    x = 1,039,742,947.92

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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.