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Finding the Third Proportional to 329,252 and 498,468

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Solution

The third proportional to 329,252 and 498,468 is: 754,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,252 : 498,468 = 498,468 : x
  2. Step 2: Convert to fraction form
    329,252/498,468 = 498,468/x
  3. Step 3: Cross multiply
    329,252x = 498,468 × 498,468
  4. Step 4: Simplify right side
    329,252x = 248,470,347,024
  5. Step 5: Solve for x
    x = 248,470,347,024/329,252
  6. Step 6: Final answer
    x = 754,650.99

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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.