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Finding the Third Proportional to 255,974 and 558,530

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Solution

The third proportional to 255,974 and 558,530 is: 1,218,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,974 : 558,530 = 558,530 : x
  2. Step 2: Convert to fraction form
    255,974/558,530 = 558,530/x
  3. Step 3: Cross multiply
    255,974x = 558,530 × 558,530
  4. Step 4: Simplify right side
    255,974x = 311,955,760,900
  5. Step 5: Solve for x
    x = 311,955,760,900/255,974
  6. Step 6: Final answer
    x = 1,218,700.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.