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Finding the Third Proportional to 636,723 and 963,282

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Solution

The third proportional to 636,723 and 963,282 is: 1,457,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,723 : 963,282 = 963,282 : x
  2. Step 2: Convert to fraction form
    636,723/963,282 = 963,282/x
  3. Step 3: Cross multiply
    636,723x = 963,282 × 963,282
  4. Step 4: Simplify right side
    636,723x = 927,912,211,524
  5. Step 5: Solve for x
    x = 927,912,211,524/636,723
  6. Step 6: Final answer
    x = 1,457,324.79

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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.