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Finding the Third Proportional to 655,453.50 and 996,862.50

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Solution

The third proportional to 655,453.50 and 996,862.50 is: 1,516,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,453.50 : 996,862.50 = 996,862.50 : x
  2. Step 2: Convert to fraction form
    655,453.50/996,862.50 = 996,862.50/x
  3. Step 3: Cross multiply
    655,453.50x = 996,862.50 × 996,862.50
  4. Step 4: Simplify right side
    655,453.50x = 993,734,843,906.25
  5. Step 5: Solve for x
    x = 993,734,843,906.25/655,453.50
  6. Step 6: Final answer
    x = 1,516,102.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.