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Finding the Third Proportional to 332,870.38 and 718,854.13

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Solution

The third proportional to 332,870.38 and 718,854.13 is: 1,552,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,870.38 : 718,854.13 = 718,854.13 : x
  2. Step 2: Convert to fraction form
    332,870.38/718,854.13 = 718,854.13/x
  3. Step 3: Cross multiply
    332,870.38x = 718,854.13 × 718,854.13
  4. Step 4: Simplify right side
    332,870.38x = 516,751,253,029.52
  5. Step 5: Solve for x
    x = 516,751,253,029.52/332,870.38
  6. Step 6: Final answer
    x = 1,552,409.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.