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Finding the Third Proportional to 341,002 and 496,508

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Solution

The third proportional to 341,002 and 496,508 is: 722,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,002 : 496,508 = 496,508 : x
  2. Step 2: Convert to fraction form
    341,002/496,508 = 496,508/x
  3. Step 3: Cross multiply
    341,002x = 496,508 × 496,508
  4. Step 4: Simplify right side
    341,002x = 246,520,194,064
  5. Step 5: Solve for x
    x = 246,520,194,064/341,002
  6. Step 6: Final answer
    x = 722,928.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.