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Finding the Third Proportional to 442,046 and 665,652

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Solution

The third proportional to 442,046 and 665,652 is: 1,002,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,046 : 665,652 = 665,652 : x
  2. Step 2: Convert to fraction form
    442,046/665,652 = 665,652/x
  3. Step 3: Cross multiply
    442,046x = 665,652 × 665,652
  4. Step 4: Simplify right side
    442,046x = 443,092,585,104
  5. Step 5: Solve for x
    x = 443,092,585,104/442,046
  6. Step 6: Final answer
    x = 1,002,367.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.