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Finding the Third Proportional to 266,725 and 579,241

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Solution

The third proportional to 266,725 and 579,241 is: 1,257,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,725 : 579,241 = 579,241 : x
  2. Step 2: Convert to fraction form
    266,725/579,241 = 579,241/x
  3. Step 3: Cross multiply
    266,725x = 579,241 × 579,241
  4. Step 4: Simplify right side
    266,725x = 335,520,136,081
  5. Step 5: Solve for x
    x = 335,520,136,081/266,725
  6. Step 6: Final answer
    x = 1,257,925.34

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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.