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Finding the Third Proportional to 451,597 and 664,921

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Solution

The third proportional to 451,597 and 664,921 is: 979,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,597 : 664,921 = 664,921 : x
  2. Step 2: Convert to fraction form
    451,597/664,921 = 664,921/x
  3. Step 3: Cross multiply
    451,597x = 664,921 × 664,921
  4. Step 4: Simplify right side
    451,597x = 442,119,936,241
  5. Step 5: Solve for x
    x = 442,119,936,241/451,597
  6. Step 6: Final answer
    x = 979,014.33

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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.