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Finding the Third Proportional to 447,168 and 656,496

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Solution

The third proportional to 447,168 and 656,496 is: 963,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,168 : 656,496 = 656,496 : x
  2. Step 2: Convert to fraction form
    447,168/656,496 = 656,496/x
  3. Step 3: Cross multiply
    447,168x = 656,496 × 656,496
  4. Step 4: Simplify right side
    447,168x = 430,986,998,016
  5. Step 5: Solve for x
    x = 430,986,998,016/447,168
  6. Step 6: Final answer
    x = 963,814.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.