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Finding the Third Proportional to 320,341 and 463,987

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Solution

The third proportional to 320,341 and 463,987 is: 672,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,341 : 463,987 = 463,987 : x
  2. Step 2: Convert to fraction form
    320,341/463,987 = 463,987/x
  3. Step 3: Cross multiply
    320,341x = 463,987 × 463,987
  4. Step 4: Simplify right side
    320,341x = 215,283,936,169
  5. Step 5: Solve for x
    x = 215,283,936,169/320,341
  6. Step 6: Final answer
    x = 672,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.