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Finding the Third Proportional to 456,001 and 681,448

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Solution

The third proportional to 456,001 and 681,448 is: 1,018,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,001 : 681,448 = 681,448 : x
  2. Step 2: Convert to fraction form
    456,001/681,448 = 681,448/x
  3. Step 3: Cross multiply
    456,001x = 681,448 × 681,448
  4. Step 4: Simplify right side
    456,001x = 464,371,376,704
  5. Step 5: Solve for x
    x = 464,371,376,704/456,001
  6. Step 6: Final answer
    x = 1,018,356.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.