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Finding the Third Proportional to 266,703 and 583,198

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Solution

The third proportional to 266,703 and 583,198 is: 1,275,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,703 : 583,198 = 583,198 : x
  2. Step 2: Convert to fraction form
    266,703/583,198 = 583,198/x
  3. Step 3: Cross multiply
    266,703x = 583,198 × 583,198
  4. Step 4: Simplify right side
    266,703x = 340,119,907,204
  5. Step 5: Solve for x
    x = 340,119,907,204/266,703
  6. Step 6: Final answer
    x = 1,275,275.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.