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Finding the Third Proportional to 242,848 and 567,208

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Solution

The third proportional to 242,848 and 567,208 is: 1,324,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,848 : 567,208 = 567,208 : x
  2. Step 2: Convert to fraction form
    242,848/567,208 = 567,208/x
  3. Step 3: Cross multiply
    242,848x = 567,208 × 567,208
  4. Step 4: Simplify right side
    242,848x = 321,724,915,264
  5. Step 5: Solve for x
    x = 321,724,915,264/242,848
  6. Step 6: Final answer
    x = 1,324,799.53

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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.