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Finding the Third Proportional to 232,898 and 350,514

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Solution

The third proportional to 232,898 and 350,514 is: 527,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,898 : 350,514 = 350,514 : x
  2. Step 2: Convert to fraction form
    232,898/350,514 = 350,514/x
  3. Step 3: Cross multiply
    232,898x = 350,514 × 350,514
  4. Step 4: Simplify right side
    232,898x = 122,860,064,196
  5. Step 5: Solve for x
    x = 122,860,064,196/232,898
  6. Step 6: Final answer
    x = 527,527.35

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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.