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Finding the Third Proportional to 272,417 and 577,597

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Solution

The third proportional to 272,417 and 577,597 is: 1,224,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,417 : 577,597 = 577,597 : x
  2. Step 2: Convert to fraction form
    272,417/577,597 = 577,597/x
  3. Step 3: Cross multiply
    272,417x = 577,597 × 577,597
  4. Step 4: Simplify right side
    272,417x = 333,618,294,409
  5. Step 5: Solve for x
    x = 333,618,294,409/272,417
  6. Step 6: Final answer
    x = 1,224,660.33

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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.