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Finding the Third Proportional to 259,221.75 and 563,883.75

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Solution

The third proportional to 259,221.75 and 563,883.75 is: 1,226,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,221.75 : 563,883.75 = 563,883.75 : x
  2. Step 2: Convert to fraction form
    259,221.75/563,883.75 = 563,883.75/x
  3. Step 3: Cross multiply
    259,221.75x = 563,883.75 × 563,883.75
  4. Step 4: Simplify right side
    259,221.75x = 317,964,883,514.06
  5. Step 5: Solve for x
    x = 317,964,883,514.06/259,221.75
  6. Step 6: Final answer
    x = 1,226,613.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.