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Finding the Third Proportional to 465,015.94 and 658,180.69

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Solution

The third proportional to 465,015.94 and 658,180.69 is: 931,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,015.94 : 658,180.69 = 658,180.69 : x
  2. Step 2: Convert to fraction form
    465,015.94/658,180.69 = 658,180.69/x
  3. Step 3: Cross multiply
    465,015.94x = 658,180.69 × 658,180.69
  4. Step 4: Simplify right side
    465,015.94x = 433,201,817,397.97
  5. Step 5: Solve for x
    x = 433,201,817,397.97/465,015.94
  6. Step 6: Final answer
    x = 931,584.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.