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Finding the Third Proportional to 392,429.25 and 588,645

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Solution

The third proportional to 392,429.25 and 588,645 is: 882,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,429.25 : 588,645 = 588,645 : x
  2. Step 2: Convert to fraction form
    392,429.25/588,645 = 588,645/x
  3. Step 3: Cross multiply
    392,429.25x = 588,645 × 588,645
  4. Step 4: Simplify right side
    392,429.25x = 346,502,936,025
  5. Step 5: Solve for x
    x = 346,502,936,025/392,429.25
  6. Step 6: Final answer
    x = 882,969.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.