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Finding the Third Proportional to 242,799.75 and 567,100.13

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Solution

The third proportional to 242,799.75 and 567,100.13 is: 1,324,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,799.75 : 567,100.13 = 567,100.13 : x
  2. Step 2: Convert to fraction form
    242,799.75/567,100.13 = 567,100.13/x
  3. Step 3: Cross multiply
    242,799.75x = 567,100.13 × 567,100.13
  4. Step 4: Simplify right side
    242,799.75x = 321,602,551,775.02
  5. Step 5: Solve for x
    x = 321,602,551,775.02/242,799.75
  6. Step 6: Final answer
    x = 1,324,558.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.