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Finding the Third Proportional to 272,414 and 577,592

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Solution

The third proportional to 272,414 and 577,592 is: 1,224,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,414 : 577,592 = 577,592 : x
  2. Step 2: Convert to fraction form
    272,414/577,592 = 577,592/x
  3. Step 3: Cross multiply
    272,414x = 577,592 × 577,592
  4. Step 4: Simplify right side
    272,414x = 333,612,518,464
  5. Step 5: Solve for x
    x = 333,612,518,464/272,414
  6. Step 6: Final answer
    x = 1,224,652.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.