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Finding the Third Proportional to 232,494 and 492,890

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Solution

The third proportional to 232,494 and 492,890 is: 1,044,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,494 : 492,890 = 492,890 : x
  2. Step 2: Convert to fraction form
    232,494/492,890 = 492,890/x
  3. Step 3: Cross multiply
    232,494x = 492,890 × 492,890
  4. Step 4: Simplify right side
    232,494x = 242,940,552,100
  5. Step 5: Solve for x
    x = 242,940,552,100/232,494
  6. Step 6: Final answer
    x = 1,044,932.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.