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Finding the Third Proportional to 203,792 and 479,514

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Solution

The third proportional to 203,792 and 479,514 is: 1,128,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,792 : 479,514 = 479,514 : x
  2. Step 2: Convert to fraction form
    203,792/479,514 = 479,514/x
  3. Step 3: Cross multiply
    203,792x = 479,514 × 479,514
  4. Step 4: Simplify right side
    203,792x = 229,933,676,196
  5. Step 5: Solve for x
    x = 229,933,676,196/203,792
  6. Step 6: Final answer
    x = 1,128,276.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.