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Finding the Third Proportional to 517,740.50 and 784,630

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Solution

The third proportional to 517,740.50 and 784,630 is: 1,189,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,740.50 : 784,630 = 784,630 : x
  2. Step 2: Convert to fraction form
    517,740.50/784,630 = 784,630/x
  3. Step 3: Cross multiply
    517,740.50x = 784,630 × 784,630
  4. Step 4: Simplify right side
    517,740.50x = 615,644,236,900
  5. Step 5: Solve for x
    x = 615,644,236,900/517,740.50
  6. Step 6: Final answer
    x = 1,189,098.08

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