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Finding the Third Proportional to 338,434 and 752,514

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Solution

The third proportional to 338,434 and 752,514 is: 1,673,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,434 : 752,514 = 752,514 : x
  2. Step 2: Convert to fraction form
    338,434/752,514 = 752,514/x
  3. Step 3: Cross multiply
    338,434x = 752,514 × 752,514
  4. Step 4: Simplify right side
    338,434x = 566,277,320,196
  5. Step 5: Solve for x
    x = 566,277,320,196/338,434
  6. Step 6: Final answer
    x = 1,673,228.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.