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Finding the Third Proportional to 350,793.56 and 564,953.34

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Solution

The third proportional to 350,793.56 and 564,953.34 is: 909,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,793.56 : 564,953.34 = 564,953.34 : x
  2. Step 2: Convert to fraction form
    350,793.56/564,953.34 = 564,953.34/x
  3. Step 3: Cross multiply
    350,793.56x = 564,953.34 × 564,953.34
  4. Step 4: Simplify right side
    350,793.56x = 319,172,280,614.31
  5. Step 5: Solve for x
    x = 319,172,280,614.31/350,793.56
  6. Step 6: Final answer
    x = 909,857.86

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