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Finding the Third Proportional to 517,951.13 and 784,923.75

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Solution

The third proportional to 517,951.13 and 784,923.75 is: 1,189,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,951.13 : 784,923.75 = 784,923.75 : x
  2. Step 2: Convert to fraction form
    517,951.13/784,923.75 = 784,923.75/x
  3. Step 3: Cross multiply
    517,951.13x = 784,923.75 × 784,923.75
  4. Step 4: Simplify right side
    517,951.13x = 616,105,293,314.06
  5. Step 5: Solve for x
    x = 616,105,293,314.06/517,951.13
  6. Step 6: Final answer
    x = 1,189,504.69

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Why These Related Problems?

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