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Finding the Third Proportional to 517,725 and 784,606.50

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Solution

The third proportional to 517,725 and 784,606.50 is: 1,189,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,725 : 784,606.50 = 784,606.50 : x
  2. Step 2: Convert to fraction form
    517,725/784,606.50 = 784,606.50/x
  3. Step 3: Cross multiply
    517,725x = 784,606.50 × 784,606.50
  4. Step 4: Simplify right side
    517,725x = 615,607,359,842.25
  5. Step 5: Solve for x
    x = 615,607,359,842.25/517,725
  6. Step 6: Final answer
    x = 1,189,062.46

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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.