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Finding the Third Proportional to 441,294 and 681,912

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Solution

The third proportional to 441,294 and 681,912 is: 1,053,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,294 : 681,912 = 681,912 : x
  2. Step 2: Convert to fraction form
    441,294/681,912 = 681,912/x
  3. Step 3: Cross multiply
    441,294x = 681,912 × 681,912
  4. Step 4: Simplify right side
    441,294x = 465,003,975,744
  5. Step 5: Solve for x
    x = 465,003,975,744/441,294
  6. Step 6: Final answer
    x = 1,053,728.30

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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.