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Finding the Third Proportional to 259,475.69 and 561,597.75

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Solution

The third proportional to 259,475.69 and 561,597.75 is: 1,215,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,475.69 : 561,597.75 = 561,597.75 : x
  2. Step 2: Convert to fraction form
    259,475.69/561,597.75 = 561,597.75/x
  3. Step 3: Cross multiply
    259,475.69x = 561,597.75 × 561,597.75
  4. Step 4: Simplify right side
    259,475.69x = 315,392,032,805.06
  5. Step 5: Solve for x
    x = 315,392,032,805.06/259,475.69
  6. Step 6: Final answer
    x = 1,215,497.44

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