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Finding the Third Proportional to 678,132 and 992,864

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Solution

The third proportional to 678,132 and 992,864 is: 1,453,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,132 : 992,864 = 992,864 : x
  2. Step 2: Convert to fraction form
    678,132/992,864 = 992,864/x
  3. Step 3: Cross multiply
    678,132x = 992,864 × 992,864
  4. Step 4: Simplify right side
    678,132x = 985,778,922,496
  5. Step 5: Solve for x
    x = 985,778,922,496/678,132
  6. Step 6: Final answer
    x = 1,453,668.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.