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Finding the Third Proportional to 332,062.88 and 465,957.56

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Solution

The third proportional to 332,062.88 and 465,957.56 is: 653,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,062.88 : 465,957.56 = 465,957.56 : x
  2. Step 2: Convert to fraction form
    332,062.88/465,957.56 = 465,957.56/x
  3. Step 3: Cross multiply
    332,062.88x = 465,957.56 × 465,957.56
  4. Step 4: Simplify right side
    332,062.88x = 217,116,450,050.94
  5. Step 5: Solve for x
    x = 217,116,450,050.94/332,062.88
  6. Step 6: Final answer
    x = 653,841.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.