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Finding the Third Proportional to 329,302.13 and 496,546.88

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Solution

The third proportional to 329,302.13 and 496,546.88 is: 748,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,302.13 : 496,546.88 = 496,546.88 : x
  2. Step 2: Convert to fraction form
    329,302.13/496,546.88 = 496,546.88/x
  3. Step 3: Cross multiply
    329,302.13x = 496,546.88 × 496,546.88
  4. Step 4: Simplify right side
    329,302.13x = 246,558,799,072.27
  5. Step 5: Solve for x
    x = 246,558,799,072.27/329,302.13
  6. Step 6: Final answer
    x = 748,731.27

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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.