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Finding the Third Proportional to 332,694 and 729,156

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Solution

The third proportional to 332,694 and 729,156 is: 1,598,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,694 : 729,156 = 729,156 : x
  2. Step 2: Convert to fraction form
    332,694/729,156 = 729,156/x
  3. Step 3: Cross multiply
    332,694x = 729,156 × 729,156
  4. Step 4: Simplify right side
    332,694x = 531,668,472,336
  5. Step 5: Solve for x
    x = 531,668,472,336/332,694
  6. Step 6: Final answer
    x = 1,598,070.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.