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Finding the Third Proportional to 677,287 and 922,496

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Solution

The third proportional to 677,287 and 922,496 is: 1,256,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,287 : 922,496 = 922,496 : x
  2. Step 2: Convert to fraction form
    677,287/922,496 = 922,496/x
  3. Step 3: Cross multiply
    677,287x = 922,496 × 922,496
  4. Step 4: Simplify right side
    677,287x = 850,998,870,016
  5. Step 5: Solve for x
    x = 850,998,870,016/677,287
  6. Step 6: Final answer
    x = 1,256,481.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.