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Finding the Third Proportional to 488,552.50 and 754,974.75

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Solution

The third proportional to 488,552.50 and 754,974.75 is: 1,166,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,552.50 : 754,974.75 = 754,974.75 : x
  2. Step 2: Convert to fraction form
    488,552.50/754,974.75 = 754,974.75/x
  3. Step 3: Cross multiply
    488,552.50x = 754,974.75 × 754,974.75
  4. Step 4: Simplify right side
    488,552.50x = 569,986,873,137.56
  5. Step 5: Solve for x
    x = 569,986,873,137.56/488,552.50
  6. Step 6: Final answer
    x = 1,166,685.00

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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.