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Finding the Third Proportional to 441,736 and 588,540

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Solution

The third proportional to 441,736 and 588,540 is: 784,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,736 : 588,540 = 588,540 : x
  2. Step 2: Convert to fraction form
    441,736/588,540 = 588,540/x
  3. Step 3: Cross multiply
    441,736x = 588,540 × 588,540
  4. Step 4: Simplify right side
    441,736x = 346,379,331,600
  5. Step 5: Solve for x
    x = 346,379,331,600/441,736
  6. Step 6: Final answer
    x = 784,132.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.