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Finding the Third Proportional to 261,837 and 565,008.75

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Solution

The third proportional to 261,837 and 565,008.75 is: 1,219,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,837 : 565,008.75 = 565,008.75 : x
  2. Step 2: Convert to fraction form
    261,837/565,008.75 = 565,008.75/x
  3. Step 3: Cross multiply
    261,837x = 565,008.75 × 565,008.75
  4. Step 4: Simplify right side
    261,837x = 319,234,887,576.56
  5. Step 5: Solve for x
    x = 319,234,887,576.56/261,837
  6. Step 6: Final answer
    x = 1,219,212.29

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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.