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Finding the Third Proportional to 455,996 and 681,441

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Solution

The third proportional to 455,996 and 681,441 is: 1,018,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,996 : 681,441 = 681,441 : x
  2. Step 2: Convert to fraction form
    455,996/681,441 = 681,441/x
  3. Step 3: Cross multiply
    455,996x = 681,441 × 681,441
  4. Step 4: Simplify right side
    455,996x = 464,361,836,481
  5. Step 5: Solve for x
    x = 464,361,836,481/455,996
  6. Step 6: Final answer
    x = 1,018,346.29

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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.