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Finding the Third Proportional to 373,737.80 and 560,948.41

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Solution

The third proportional to 373,737.80 and 560,948.41 is: 841,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,737.80 : 560,948.41 = 560,948.41 : x
  2. Step 2: Convert to fraction form
    373,737.80/560,948.41 = 560,948.41/x
  3. Step 3: Cross multiply
    373,737.80x = 560,948.41 × 560,948.41
  4. Step 4: Simplify right side
    373,737.80x = 314,663,123,239.23
  5. Step 5: Solve for x
    x = 314,663,123,239.23/373,737.80
  6. Step 6: Final answer
    x = 841,935.51

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Why These Related Problems?

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