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Finding the Third Proportional to 343,531 and 451,742

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Solution

The third proportional to 343,531 and 451,742 is: 594,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,531 : 451,742 = 451,742 : x
  2. Step 2: Convert to fraction form
    343,531/451,742 = 451,742/x
  3. Step 3: Cross multiply
    343,531x = 451,742 × 451,742
  4. Step 4: Simplify right side
    343,531x = 204,070,834,564
  5. Step 5: Solve for x
    x = 204,070,834,564/343,531
  6. Step 6: Final answer
    x = 594,039.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.