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Finding the Third Proportional to 329,283 and 496,521

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Solution

The third proportional to 329,283 and 496,521 is: 748,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,283 : 496,521 = 496,521 : x
  2. Step 2: Convert to fraction form
    329,283/496,521 = 496,521/x
  3. Step 3: Cross multiply
    329,283x = 496,521 × 496,521
  4. Step 4: Simplify right side
    329,283x = 246,533,103,441
  5. Step 5: Solve for x
    x = 246,533,103,441/329,283
  6. Step 6: Final answer
    x = 748,696.72

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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.