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Finding the Third Proportional to 442,984 and 664,337

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Solution

The third proportional to 442,984 and 664,337 is: 996,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,984 : 664,337 = 664,337 : x
  2. Step 2: Convert to fraction form
    442,984/664,337 = 664,337/x
  3. Step 3: Cross multiply
    442,984x = 664,337 × 664,337
  4. Step 4: Simplify right side
    442,984x = 441,343,649,569
  5. Step 5: Solve for x
    x = 441,343,649,569/442,984
  6. Step 6: Final answer
    x = 996,297.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.