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Finding the Third Proportional to 517,729 and 784,612.50

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Solution

The third proportional to 517,729 and 784,612.50 is: 1,189,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,729 : 784,612.50 = 784,612.50 : x
  2. Step 2: Convert to fraction form
    517,729/784,612.50 = 784,612.50/x
  3. Step 3: Cross multiply
    517,729x = 784,612.50 × 784,612.50
  4. Step 4: Simplify right side
    517,729x = 615,616,775,156.25
  5. Step 5: Solve for x
    x = 615,616,775,156.25/517,729
  6. Step 6: Final answer
    x = 1,189,071.45

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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.