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Finding the Third Proportional to 209,773.50 and 452,716.50

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Solution

The third proportional to 209,773.50 and 452,716.50 is: 977,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,773.50 : 452,716.50 = 452,716.50 : x
  2. Step 2: Convert to fraction form
    209,773.50/452,716.50 = 452,716.50/x
  3. Step 3: Cross multiply
    209,773.50x = 452,716.50 × 452,716.50
  4. Step 4: Simplify right side
    209,773.50x = 204,952,229,372.25
  5. Step 5: Solve for x
    x = 204,952,229,372.25/209,773.50
  6. Step 6: Final answer
    x = 977,016.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.