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Finding the Third Proportional to 232,677 and 479,904.75

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Solution

The third proportional to 232,677 and 479,904.75 is: 989,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,677 : 479,904.75 = 479,904.75 : x
  2. Step 2: Convert to fraction form
    232,677/479,904.75 = 479,904.75/x
  3. Step 3: Cross multiply
    232,677x = 479,904.75 × 479,904.75
  4. Step 4: Simplify right side
    232,677x = 230,308,569,072.56
  5. Step 5: Solve for x
    x = 230,308,569,072.56/232,677
  6. Step 6: Final answer
    x = 989,820.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.