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Finding the Third Proportional to 329,048 and 497,624

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Solution

The third proportional to 329,048 and 497,624 is: 752,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,048 : 497,624 = 497,624 : x
  2. Step 2: Convert to fraction form
    329,048/497,624 = 497,624/x
  3. Step 3: Cross multiply
    329,048x = 497,624 × 497,624
  4. Step 4: Simplify right side
    329,048x = 247,629,645,376
  5. Step 5: Solve for x
    x = 247,629,645,376/329,048
  6. Step 6: Final answer
    x = 752,563.90

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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.