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Finding the Third Proportional to 261,369.75 and 566,995.50

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Solution

The third proportional to 261,369.75 and 566,995.50 is: 1,229,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,369.75 : 566,995.50 = 566,995.50 : x
  2. Step 2: Convert to fraction form
    261,369.75/566,995.50 = 566,995.50/x
  3. Step 3: Cross multiply
    261,369.75x = 566,995.50 × 566,995.50
  4. Step 4: Simplify right side
    261,369.75x = 321,483,897,020.25
  5. Step 5: Solve for x
    x = 321,483,897,020.25/261,369.75
  6. Step 6: Final answer
    x = 1,229,996.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.