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Finding the Third Proportional to 354,920.06 and 516,180.94

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Solution

The third proportional to 354,920.06 and 516,180.94 is: 750,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,920.06 : 516,180.94 = 516,180.94 : x
  2. Step 2: Convert to fraction form
    354,920.06/516,180.94 = 516,180.94/x
  3. Step 3: Cross multiply
    354,920.06x = 516,180.94 × 516,180.94
  4. Step 4: Simplify right side
    354,920.06x = 266,442,760,238.38
  5. Step 5: Solve for x
    x = 266,442,760,238.38/354,920.06
  6. Step 6: Final answer
    x = 750,712.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.