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Finding the Third Proportional to 266,729 and 579,247

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Solution

The third proportional to 266,729 and 579,247 is: 1,257,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,729 : 579,247 = 579,247 : x
  2. Step 2: Convert to fraction form
    266,729/579,247 = 579,247/x
  3. Step 3: Cross multiply
    266,729x = 579,247 × 579,247
  4. Step 4: Simplify right side
    266,729x = 335,527,087,009
  5. Step 5: Solve for x
    x = 335,527,087,009/266,729
  6. Step 6: Final answer
    x = 1,257,932.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.