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Finding the Third Proportional to 229,652 and 337,674

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Solution

The third proportional to 229,652 and 337,674 is: 496,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,652 : 337,674 = 337,674 : x
  2. Step 2: Convert to fraction form
    229,652/337,674 = 337,674/x
  3. Step 3: Cross multiply
    229,652x = 337,674 × 337,674
  4. Step 4: Simplify right side
    229,652x = 114,023,730,276
  5. Step 5: Solve for x
    x = 114,023,730,276/229,652
  6. Step 6: Final answer
    x = 496,506.59

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Why These Related Problems?

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