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Finding the Third Proportional to 541,035 and 844,304

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Solution

The third proportional to 541,035 and 844,304 is: 1,317,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,035 : 844,304 = 844,304 : x
  2. Step 2: Convert to fraction form
    541,035/844,304 = 844,304/x
  3. Step 3: Cross multiply
    541,035x = 844,304 × 844,304
  4. Step 4: Simplify right side
    541,035x = 712,849,244,416
  5. Step 5: Solve for x
    x = 712,849,244,416/541,035
  6. Step 6: Final answer
    x = 1,317,565.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.