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Finding the Third Proportional to 524,665.50 and 1,147,200

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Solution

The third proportional to 524,665.50 and 1,147,200 is: 2,508,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,665.50 : 1,147,200 = 1,147,200 : x
  2. Step 2: Convert to fraction form
    524,665.50/1,147,200 = 1,147,200/x
  3. Step 3: Cross multiply
    524,665.50x = 1,147,200 × 1,147,200
  4. Step 4: Simplify right side
    524,665.50x = 1,316,067,840,000
  5. Step 5: Solve for x
    x = 1,316,067,840,000/524,665.50
  6. Step 6: Final answer
    x = 2,508,394.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.