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Finding the Third Proportional to 393,792 and 594,291

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Solution

The third proportional to 393,792 and 594,291 is: 896,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,792 : 594,291 = 594,291 : x
  2. Step 2: Convert to fraction form
    393,792/594,291 = 594,291/x
  3. Step 3: Cross multiply
    393,792x = 594,291 × 594,291
  4. Step 4: Simplify right side
    393,792x = 353,181,792,681
  5. Step 5: Solve for x
    x = 353,181,792,681/393,792
  6. Step 6: Final answer
    x = 896,873.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.