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Finding the Third Proportional to 361,926 and 563,571

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Solution

The third proportional to 361,926 and 563,571 is: 877,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,926 : 563,571 = 563,571 : x
  2. Step 2: Convert to fraction form
    361,926/563,571 = 563,571/x
  3. Step 3: Cross multiply
    361,926x = 563,571 × 563,571
  4. Step 4: Simplify right side
    361,926x = 317,612,272,041
  5. Step 5: Solve for x
    x = 317,612,272,041/361,926
  6. Step 6: Final answer
    x = 877,561.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.