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Finding the Third Proportional to 267,750 and 563,112

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Solution

The third proportional to 267,750 and 563,112 is: 1,184,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,750 : 563,112 = 563,112 : x
  2. Step 2: Convert to fraction form
    267,750/563,112 = 563,112/x
  3. Step 3: Cross multiply
    267,750x = 563,112 × 563,112
  4. Step 4: Simplify right side
    267,750x = 317,095,124,544
  5. Step 5: Solve for x
    x = 317,095,124,544/267,750
  6. Step 6: Final answer
    x = 1,184,295.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.