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Finding the Third Proportional to 451,596 and 664,919

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Solution

The third proportional to 451,596 and 664,919 is: 979,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,596 : 664,919 = 664,919 : x
  2. Step 2: Convert to fraction form
    451,596/664,919 = 664,919/x
  3. Step 3: Cross multiply
    451,596x = 664,919 × 664,919
  4. Step 4: Simplify right side
    451,596x = 442,117,276,561
  5. Step 5: Solve for x
    x = 442,117,276,561/451,596
  6. Step 6: Final answer
    x = 979,010.61

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