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Finding the Third Proportional to 393,585.75 and 815,177.25

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Solution

The third proportional to 393,585.75 and 815,177.25 is: 1,688,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,585.75 : 815,177.25 = 815,177.25 : x
  2. Step 2: Convert to fraction form
    393,585.75/815,177.25 = 815,177.25/x
  3. Step 3: Cross multiply
    393,585.75x = 815,177.25 × 815,177.25
  4. Step 4: Simplify right side
    393,585.75x = 664,513,948,917.56
  5. Step 5: Solve for x
    x = 664,513,948,917.56/393,585.75
  6. Step 6: Final answer
    x = 1,688,358.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.