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Finding the Third Proportional to 515,045 and 784,561.50

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Solution

The third proportional to 515,045 and 784,561.50 is: 1,195,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,045 : 784,561.50 = 784,561.50 : x
  2. Step 2: Convert to fraction form
    515,045/784,561.50 = 784,561.50/x
  3. Step 3: Cross multiply
    515,045x = 784,561.50 × 784,561.50
  4. Step 4: Simplify right side
    515,045x = 615,536,747,282.25
  5. Step 5: Solve for x
    x = 615,536,747,282.25/515,045
  6. Step 6: Final answer
    x = 1,195,112.56

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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.