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Finding the Third Proportional to 361,755 and 560,713.50

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Solution

The third proportional to 361,755 and 560,713.50 is: 869,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,755 : 560,713.50 = 560,713.50 : x
  2. Step 2: Convert to fraction form
    361,755/560,713.50 = 560,713.50/x
  3. Step 3: Cross multiply
    361,755x = 560,713.50 × 560,713.50
  4. Step 4: Simplify right side
    361,755x = 314,399,629,082.25
  5. Step 5: Solve for x
    x = 314,399,629,082.25/361,755
  6. Step 6: Final answer
    x = 869,095.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.