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Finding the Third Proportional to 366,571 and 567,586.50

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Solution

The third proportional to 366,571 and 567,586.50 is: 878,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,571 : 567,586.50 = 567,586.50 : x
  2. Step 2: Convert to fraction form
    366,571/567,586.50 = 567,586.50/x
  3. Step 3: Cross multiply
    366,571x = 567,586.50 × 567,586.50
  4. Step 4: Simplify right side
    366,571x = 322,154,434,982.25
  5. Step 5: Solve for x
    x = 322,154,434,982.25/366,571
  6. Step 6: Final answer
    x = 878,832.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.