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Finding the Third Proportional to 276,028 and 563,665

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Solution

The third proportional to 276,028 and 563,665 is: 1,151,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,028 : 563,665 = 563,665 : x
  2. Step 2: Convert to fraction form
    276,028/563,665 = 563,665/x
  3. Step 3: Cross multiply
    276,028x = 563,665 × 563,665
  4. Step 4: Simplify right side
    276,028x = 317,718,232,225
  5. Step 5: Solve for x
    x = 317,718,232,225/276,028
  6. Step 6: Final answer
    x = 1,151,036.24

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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.