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Finding the Third Proportional to 427,460.50 and 667,070

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Solution

The third proportional to 427,460.50 and 667,070 is: 1,040,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,460.50 : 667,070 = 667,070 : x
  2. Step 2: Convert to fraction form
    427,460.50/667,070 = 667,070/x
  3. Step 3: Cross multiply
    427,460.50x = 667,070 × 667,070
  4. Step 4: Simplify right side
    427,460.50x = 444,982,384,900
  5. Step 5: Solve for x
    x = 444,982,384,900/427,460.50
  6. Step 6: Final answer
    x = 1,040,990.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.