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Finding the Third Proportional to 232,488 and 350,443

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Solution

The third proportional to 232,488 and 350,443 is: 528,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,488 : 350,443 = 350,443 : x
  2. Step 2: Convert to fraction form
    232,488/350,443 = 350,443/x
  3. Step 3: Cross multiply
    232,488x = 350,443 × 350,443
  4. Step 4: Simplify right side
    232,488x = 122,810,296,249
  5. Step 5: Solve for x
    x = 122,810,296,249/232,488
  6. Step 6: Final answer
    x = 528,243.59

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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.