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Finding the Third Proportional to 329,168 and 498,368

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Solution

The third proportional to 329,168 and 498,368 is: 754,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,168 : 498,368 = 498,368 : x
  2. Step 2: Convert to fraction form
    329,168/498,368 = 498,368/x
  3. Step 3: Cross multiply
    329,168x = 498,368 × 498,368
  4. Step 4: Simplify right side
    329,168x = 248,370,663,424
  5. Step 5: Solve for x
    x = 248,370,663,424/329,168
  6. Step 6: Final answer
    x = 754,540.73

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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.