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Finding the Third Proportional to 268,677 and 566,514

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Solution

The third proportional to 268,677 and 566,514 is: 1,194,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,677 : 566,514 = 566,514 : x
  2. Step 2: Convert to fraction form
    268,677/566,514 = 566,514/x
  3. Step 3: Cross multiply
    268,677x = 566,514 × 566,514
  4. Step 4: Simplify right side
    268,677x = 320,938,112,196
  5. Step 5: Solve for x
    x = 320,938,112,196/268,677
  6. Step 6: Final answer
    x = 1,194,512.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.