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Finding the Third Proportional to 525,115.50 and 1,069,491

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Solution

The third proportional to 525,115.50 and 1,069,491 is: 2,178,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,115.50 : 1,069,491 = 1,069,491 : x
  2. Step 2: Convert to fraction form
    525,115.50/1,069,491 = 1,069,491/x
  3. Step 3: Cross multiply
    525,115.50x = 1,069,491 × 1,069,491
  4. Step 4: Simplify right side
    525,115.50x = 1,143,810,999,081
  5. Step 5: Solve for x
    x = 1,143,810,999,081/525,115.50
  6. Step 6: Final answer
    x = 2,178,208.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.