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Finding the Third Proportional to 454,576 and 681,864

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Solution

The third proportional to 454,576 and 681,864 is: 1,022,796

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,576 : 681,864 = 681,864 : x
  2. Step 2: Convert to fraction form
    454,576/681,864 = 681,864/x
  3. Step 3: Cross multiply
    454,576x = 681,864 × 681,864
  4. Step 4: Simplify right side
    454,576x = 464,938,514,496
  5. Step 5: Solve for x
    x = 464,938,514,496/454,576
  6. Step 6: Final answer
    x = 1,022,796

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.