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Finding the Third Proportional to 261,999.56 and 561,348.56

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Solution

The third proportional to 261,999.56 and 561,348.56 is: 1,202,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999.56 : 561,348.56 = 561,348.56 : x
  2. Step 2: Convert to fraction form
    261,999.56/561,348.56 = 561,348.56/x
  3. Step 3: Cross multiply
    261,999.56x = 561,348.56 × 561,348.56
  4. Step 4: Simplify right side
    261,999.56x = 315,112,208,620.82
  5. Step 5: Solve for x
    x = 315,112,208,620.82/261,999.56
  6. Step 6: Final answer
    x = 1,202,720.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.