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Finding the Third Proportional to 359,635 and 540,375

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Solution

The third proportional to 359,635 and 540,375 is: 811,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,635 : 540,375 = 540,375 : x
  2. Step 2: Convert to fraction form
    359,635/540,375 = 540,375/x
  3. Step 3: Cross multiply
    359,635x = 540,375 × 540,375
  4. Step 4: Simplify right side
    359,635x = 292,005,140,625
  5. Step 5: Solve for x
    x = 292,005,140,625/359,635
  6. Step 6: Final answer
    x = 811,948.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.