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Finding the Third Proportional to 442,827 and 664,686

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Solution

The third proportional to 442,827 and 664,686 is: 997,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,827 : 664,686 = 664,686 : x
  2. Step 2: Convert to fraction form
    442,827/664,686 = 664,686/x
  3. Step 3: Cross multiply
    442,827x = 664,686 × 664,686
  4. Step 4: Simplify right side
    442,827x = 441,807,478,596
  5. Step 5: Solve for x
    x = 441,807,478,596/442,827
  6. Step 6: Final answer
    x = 997,697.70

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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.