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Finding the Third Proportional to 408,504 and 588,372

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Solution

The third proportional to 408,504 and 588,372 is: 847,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,504 : 588,372 = 588,372 : x
  2. Step 2: Convert to fraction form
    408,504/588,372 = 588,372/x
  3. Step 3: Cross multiply
    408,504x = 588,372 × 588,372
  4. Step 4: Simplify right side
    408,504x = 346,181,610,384
  5. Step 5: Solve for x
    x = 346,181,610,384/408,504
  6. Step 6: Final answer
    x = 847,437.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.