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Finding the Third Proportional to 563,699.25 and 1,315,542

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Solution

The third proportional to 563,699.25 and 1,315,542 is: 3,070,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,699.25 : 1,315,542 = 1,315,542 : x
  2. Step 2: Convert to fraction form
    563,699.25/1,315,542 = 1,315,542/x
  3. Step 3: Cross multiply
    563,699.25x = 1,315,542 × 1,315,542
  4. Step 4: Simplify right side
    563,699.25x = 1,730,650,753,764
  5. Step 5: Solve for x
    x = 1,730,650,753,764/563,699.25
  6. Step 6: Final answer
    x = 3,070,166.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.