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Finding the Third Proportional to 266,508 and 569,646

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Solution

The third proportional to 266,508 and 569,646 is: 1,217,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,508 : 569,646 = 569,646 : x
  2. Step 2: Convert to fraction form
    266,508/569,646 = 569,646/x
  3. Step 3: Cross multiply
    266,508x = 569,646 × 569,646
  4. Step 4: Simplify right side
    266,508x = 324,496,565,316
  5. Step 5: Solve for x
    x = 324,496,565,316/266,508
  6. Step 6: Final answer
    x = 1,217,586.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.