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Finding the Third Proportional to 329,301 and 496,546

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Solution

The third proportional to 329,301 and 496,546 is: 748,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,301 : 496,546 = 496,546 : x
  2. Step 2: Convert to fraction form
    329,301/496,546 = 496,546/x
  3. Step 3: Cross multiply
    329,301x = 496,546 × 496,546
  4. Step 4: Simplify right side
    329,301x = 246,557,930,116
  5. Step 5: Solve for x
    x = 246,557,930,116/329,301
  6. Step 6: Final answer
    x = 748,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.