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Finding the Third Proportional to 636,697.97 and 963,248.20

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Solution

The third proportional to 636,697.97 and 963,248.20 is: 1,457,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,697.97 : 963,248.20 = 963,248.20 : x
  2. Step 2: Convert to fraction form
    636,697.97/963,248.20 = 963,248.20/x
  3. Step 3: Cross multiply
    636,697.97x = 963,248.20 × 963,248.20
  4. Step 4: Simplify right side
    636,697.97x = 927,847,100,823.54
  5. Step 5: Solve for x
    x = 927,847,100,823.54/636,697.97
  6. Step 6: Final answer
    x = 1,457,279.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.