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Finding the Third Proportional to 403,542 and 565,552

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Solution

The third proportional to 403,542 and 565,552 is: 792,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542 : 565,552 = 565,552 : x
  2. Step 2: Convert to fraction form
    403,542/565,552 = 565,552/x
  3. Step 3: Cross multiply
    403,542x = 565,552 × 565,552
  4. Step 4: Simplify right side
    403,542x = 319,849,064,704
  5. Step 5: Solve for x
    x = 319,849,064,704/403,542
  6. Step 6: Final answer
    x = 792,604.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.