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Finding the Third Proportional to 276,357 and 594,996

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Solution

The third proportional to 276,357 and 594,996 is: 1,281,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,357 : 594,996 = 594,996 : x
  2. Step 2: Convert to fraction form
    276,357/594,996 = 594,996/x
  3. Step 3: Cross multiply
    276,357x = 594,996 × 594,996
  4. Step 4: Simplify right side
    276,357x = 354,020,240,016
  5. Step 5: Solve for x
    x = 354,020,240,016/276,357
  6. Step 6: Final answer
    x = 1,281,025.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.