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Finding the Third Proportional to 341,001 and 496,509

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Solution

The third proportional to 341,001 and 496,509 is: 722,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,001 : 496,509 = 496,509 : x
  2. Step 2: Convert to fraction form
    341,001/496,509 = 496,509/x
  3. Step 3: Cross multiply
    341,001x = 496,509 × 496,509
  4. Step 4: Simplify right side
    341,001x = 246,521,187,081
  5. Step 5: Solve for x
    x = 246,521,187,081/341,001
  6. Step 6: Final answer
    x = 722,933.91

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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.