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Finding the Third Proportional to 346,540 and 752,372

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Solution

The third proportional to 346,540 and 752,372 is: 1,633,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,540 : 752,372 = 752,372 : x
  2. Step 2: Convert to fraction form
    346,540/752,372 = 752,372/x
  3. Step 3: Cross multiply
    346,540x = 752,372 × 752,372
  4. Step 4: Simplify right side
    346,540x = 566,063,626,384
  5. Step 5: Solve for x
    x = 566,063,626,384/346,540
  6. Step 6: Final answer
    x = 1,633,472.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.