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Finding the Third Proportional to 261,765.75 and 569,883.75

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Solution

The third proportional to 261,765.75 and 569,883.75 is: 1,240,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,765.75 : 569,883.75 = 569,883.75 : x
  2. Step 2: Convert to fraction form
    261,765.75/569,883.75 = 569,883.75/x
  3. Step 3: Cross multiply
    261,765.75x = 569,883.75 × 569,883.75
  4. Step 4: Simplify right side
    261,765.75x = 324,767,488,514.06
  5. Step 5: Solve for x
    x = 324,767,488,514.06/261,765.75
  6. Step 6: Final answer
    x = 1,240,679.84

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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.