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Finding the Third Proportional to 232,870 and 480,606

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Solution

The third proportional to 232,870 and 480,606 is: 991,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,870 : 480,606 = 480,606 : x
  2. Step 2: Convert to fraction form
    232,870/480,606 = 480,606/x
  3. Step 3: Cross multiply
    232,870x = 480,606 × 480,606
  4. Step 4: Simplify right side
    232,870x = 230,982,127,236
  5. Step 5: Solve for x
    x = 230,982,127,236/232,870
  6. Step 6: Final answer
    x = 991,893.02

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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.