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Finding the Third Proportional to 517,726.50 and 784,608.75

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Solution

The third proportional to 517,726.50 and 784,608.75 is: 1,189,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,726.50 : 784,608.75 = 784,608.75 : x
  2. Step 2: Convert to fraction form
    517,726.50/784,608.75 = 784,608.75/x
  3. Step 3: Cross multiply
    517,726.50x = 784,608.75 × 784,608.75
  4. Step 4: Simplify right side
    517,726.50x = 615,610,890,576.56
  5. Step 5: Solve for x
    x = 615,610,890,576.56/517,726.50
  6. Step 6: Final answer
    x = 1,189,065.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.