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Finding the Third Proportional to 332,124.75 and 466,036.88

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Solution

The third proportional to 332,124.75 and 466,036.88 is: 653,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,124.75 : 466,036.88 = 466,036.88 : x
  2. Step 2: Convert to fraction form
    332,124.75/466,036.88 = 466,036.88/x
  3. Step 3: Cross multiply
    332,124.75x = 466,036.88 × 466,036.88
  4. Step 4: Simplify right side
    332,124.75x = 217,190,368,859.77
  5. Step 5: Solve for x
    x = 217,190,368,859.77/332,124.75
  6. Step 6: Final answer
    x = 653,942.14

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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.