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Finding the Third Proportional to 442,692 and 664,362

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Solution

The third proportional to 442,692 and 664,362 is: 997,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,692 : 664,362 = 664,362 : x
  2. Step 2: Convert to fraction form
    442,692/664,362 = 664,362/x
  3. Step 3: Cross multiply
    442,692x = 664,362 × 664,362
  4. Step 4: Simplify right side
    442,692x = 441,376,867,044
  5. Step 5: Solve for x
    x = 441,376,867,044/442,692
  6. Step 6: Final answer
    x = 997,029.24

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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.