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Finding the Third Proportional to 557,572 and 841,542

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Solution

The third proportional to 557,572 and 841,542 is: 1,270,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,572 : 841,542 = 841,542 : x
  2. Step 2: Convert to fraction form
    557,572/841,542 = 841,542/x
  3. Step 3: Cross multiply
    557,572x = 841,542 × 841,542
  4. Step 4: Simplify right side
    557,572x = 708,192,937,764
  5. Step 5: Solve for x
    x = 708,192,937,764/557,572
  6. Step 6: Final answer
    x = 1,270,137.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.