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Finding the Third Proportional to 403,776 and 548,598

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Solution

The third proportional to 403,776 and 548,598 is: 745,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,776 : 548,598 = 548,598 : x
  2. Step 2: Convert to fraction form
    403,776/548,598 = 548,598/x
  3. Step 3: Cross multiply
    403,776x = 548,598 × 548,598
  4. Step 4: Simplify right side
    403,776x = 300,959,765,604
  5. Step 5: Solve for x
    x = 300,959,765,604/403,776
  6. Step 6: Final answer
    x = 745,363.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.