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Finding the Third Proportional to 350,787.38 and 564,931.97

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Solution

The third proportional to 350,787.38 and 564,931.97 is: 909,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,787.38 : 564,931.97 = 564,931.97 : x
  2. Step 2: Convert to fraction form
    350,787.38/564,931.97 = 564,931.97/x
  3. Step 3: Cross multiply
    350,787.38x = 564,931.97 × 564,931.97
  4. Step 4: Simplify right side
    350,787.38x = 319,148,129,315.75
  5. Step 5: Solve for x
    x = 319,148,129,315.75/350,787.38
  6. Step 6: Final answer
    x = 909,805.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.