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Finding the Third Proportional to 232,902 and 350,520

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Solution

The third proportional to 232,902 and 350,520 is: 527,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,902 : 350,520 = 350,520 : x
  2. Step 2: Convert to fraction form
    232,902/350,520 = 350,520/x
  3. Step 3: Cross multiply
    232,902x = 350,520 × 350,520
  4. Step 4: Simplify right side
    232,902x = 122,864,270,400
  5. Step 5: Solve for x
    x = 122,864,270,400/232,902
  6. Step 6: Final answer
    x = 527,536.35

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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.