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Finding the Third Proportional to 515,047 and 784,564.50

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Solution

The third proportional to 515,047 and 784,564.50 is: 1,195,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,047 : 784,564.50 = 784,564.50 : x
  2. Step 2: Convert to fraction form
    515,047/784,564.50 = 784,564.50/x
  3. Step 3: Cross multiply
    515,047x = 784,564.50 × 784,564.50
  4. Step 4: Simplify right side
    515,047x = 615,541,454,660.25
  5. Step 5: Solve for x
    x = 615,541,454,660.25/515,047
  6. Step 6: Final answer
    x = 1,195,117.06

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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.