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Finding the Third Proportional to 232,083 and 494,514

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Solution

The third proportional to 232,083 and 494,514 is: 1,053,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,083 : 494,514 = 494,514 : x
  2. Step 2: Convert to fraction form
    232,083/494,514 = 494,514/x
  3. Step 3: Cross multiply
    232,083x = 494,514 × 494,514
  4. Step 4: Simplify right side
    232,083x = 244,544,096,196
  5. Step 5: Solve for x
    x = 244,544,096,196/232,083
  6. Step 6: Final answer
    x = 1,053,692.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.