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Finding the Third Proportional to 524,974.50 and 814,434.75

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Solution

The third proportional to 524,974.50 and 814,434.75 is: 1,263,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,974.50 : 814,434.75 = 814,434.75 : x
  2. Step 2: Convert to fraction form
    524,974.50/814,434.75 = 814,434.75/x
  3. Step 3: Cross multiply
    524,974.50x = 814,434.75 × 814,434.75
  4. Step 4: Simplify right side
    524,974.50x = 663,303,962,007.56
  5. Step 5: Solve for x
    x = 663,303,962,007.56/524,974.50
  6. Step 6: Final answer
    x = 1,263,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.