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Finding the Third Proportional to 341,338 and 452,941

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Solution

The third proportional to 341,338 and 452,941 is: 601,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,338 : 452,941 = 452,941 : x
  2. Step 2: Convert to fraction form
    341,338/452,941 = 452,941/x
  3. Step 3: Cross multiply
    341,338x = 452,941 × 452,941
  4. Step 4: Simplify right side
    341,338x = 205,155,549,481
  5. Step 5: Solve for x
    x = 205,155,549,481/341,338
  6. Step 6: Final answer
    x = 601,033.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.