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Finding the Third Proportional to 524,748.38 and 743,139.56

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Solution

The third proportional to 524,748.38 and 743,139.56 is: 1,052,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,748.38 : 743,139.56 = 743,139.56 : x
  2. Step 2: Convert to fraction form
    524,748.38/743,139.56 = 743,139.56/x
  3. Step 3: Cross multiply
    524,748.38x = 743,139.56 × 743,139.56
  4. Step 4: Simplify right side
    524,748.38x = 552,256,409,352.69
  5. Step 5: Solve for x
    x = 552,256,409,352.69/524,748.38
  6. Step 6: Final answer
    x = 1,052,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.