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Finding the Third Proportional to 259,530 and 565,716

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Solution

The third proportional to 259,530 and 565,716 is: 1,233,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,530 : 565,716 = 565,716 : x
  2. Step 2: Convert to fraction form
    259,530/565,716 = 565,716/x
  3. Step 3: Cross multiply
    259,530x = 565,716 × 565,716
  4. Step 4: Simplify right side
    259,530x = 320,034,592,656
  5. Step 5: Solve for x
    x = 320,034,592,656/259,530
  6. Step 6: Final answer
    x = 1,233,131.40

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Why These Related Problems?

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