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Finding the Third Proportional to 427,461.50 and 667,071.50

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Solution

The third proportional to 427,461.50 and 667,071.50 is: 1,040,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,461.50 : 667,071.50 = 667,071.50 : x
  2. Step 2: Convert to fraction form
    427,461.50/667,071.50 = 667,071.50/x
  3. Step 3: Cross multiply
    427,461.50x = 667,071.50 × 667,071.50
  4. Step 4: Simplify right side
    427,461.50x = 444,984,386,112.25
  5. Step 5: Solve for x
    x = 444,984,386,112.25/427,461.50
  6. Step 6: Final answer
    x = 1,040,992.90

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