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Finding the Third Proportional to 369,648 and 588,366

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Solution

The third proportional to 369,648 and 588,366 is: 936,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,648 : 588,366 = 588,366 : x
  2. Step 2: Convert to fraction form
    369,648/588,366 = 588,366/x
  3. Step 3: Cross multiply
    369,648x = 588,366 × 588,366
  4. Step 4: Simplify right side
    369,648x = 346,174,549,956
  5. Step 5: Solve for x
    x = 346,174,549,956/369,648
  6. Step 6: Final answer
    x = 936,497.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.