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Finding the Third Proportional to 368,847 and 567,202.50

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Solution

The third proportional to 368,847 and 567,202.50 is: 872,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,847 : 567,202.50 = 567,202.50 : x
  2. Step 2: Convert to fraction form
    368,847/567,202.50 = 567,202.50/x
  3. Step 3: Cross multiply
    368,847x = 567,202.50 × 567,202.50
  4. Step 4: Simplify right side
    368,847x = 321,718,676,006.25
  5. Step 5: Solve for x
    x = 321,718,676,006.25/368,847
  6. Step 6: Final answer
    x = 872,227.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.