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Finding the Third Proportional to 338,277 and 743,514

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Solution

The third proportional to 338,277 and 743,514 is: 1,634,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,277 : 743,514 = 743,514 : x
  2. Step 2: Convert to fraction form
    338,277/743,514 = 743,514/x
  3. Step 3: Cross multiply
    338,277x = 743,514 × 743,514
  4. Step 4: Simplify right side
    338,277x = 552,813,068,196
  5. Step 5: Solve for x
    x = 552,813,068,196/338,277
  6. Step 6: Final answer
    x = 1,634,202.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.