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Finding the Third Proportional to 230,904 and 479,952

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Solution

The third proportional to 230,904 and 479,952 is: 997,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904 : 479,952 = 479,952 : x
  2. Step 2: Convert to fraction form
    230,904/479,952 = 479,952/x
  3. Step 3: Cross multiply
    230,904x = 479,952 × 479,952
  4. Step 4: Simplify right side
    230,904x = 230,353,922,304
  5. Step 5: Solve for x
    x = 230,353,922,304/230,904
  6. Step 6: Final answer
    x = 997,617.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.