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Finding the Third Proportional to 427,465.13 and 667,077.38

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Solution

The third proportional to 427,465.13 and 667,077.38 is: 1,041,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,465.13 : 667,077.38 = 667,077.38 : x
  2. Step 2: Convert to fraction form
    427,465.13/667,077.38 = 667,077.38/x
  3. Step 3: Cross multiply
    427,465.13x = 667,077.38 × 667,077.38
  4. Step 4: Simplify right side
    427,465.13x = 444,992,224,236.89
  5. Step 5: Solve for x
    x = 444,992,224,236.89/427,465.13
  6. Step 6: Final answer
    x = 1,041,002.41

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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.