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Finding the Third Proportional to 276,119 and 563,848

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Solution

The third proportional to 276,119 and 563,848 is: 1,151,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,119 : 563,848 = 563,848 : x
  2. Step 2: Convert to fraction form
    276,119/563,848 = 563,848/x
  3. Step 3: Cross multiply
    276,119x = 563,848 × 563,848
  4. Step 4: Simplify right side
    276,119x = 317,924,567,104
  5. Step 5: Solve for x
    x = 317,924,567,104/276,119
  6. Step 6: Final answer
    x = 1,151,404.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.