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Finding the Third Proportional to 441,306 and 681,924

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Solution

The third proportional to 441,306 and 681,924 is: 1,053,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,306 : 681,924 = 681,924 : x
  2. Step 2: Convert to fraction form
    441,306/681,924 = 681,924/x
  3. Step 3: Cross multiply
    441,306x = 681,924 × 681,924
  4. Step 4: Simplify right side
    441,306x = 465,020,341,776
  5. Step 5: Solve for x
    x = 465,020,341,776/441,306
  6. Step 6: Final answer
    x = 1,053,736.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.