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Finding the Third Proportional to 232,486 and 492,872

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Solution

The third proportional to 232,486 and 492,872 is: 1,044,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,486 : 492,872 = 492,872 : x
  2. Step 2: Convert to fraction form
    232,486/492,872 = 492,872/x
  3. Step 3: Cross multiply
    232,486x = 492,872 × 492,872
  4. Step 4: Simplify right side
    232,486x = 242,922,808,384
  5. Step 5: Solve for x
    x = 242,922,808,384/232,486
  6. Step 6: Final answer
    x = 1,044,892.20

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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.