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Finding the Third Proportional to 266,506 and 582,834

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Solution

The third proportional to 266,506 and 582,834 is: 1,274,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,506 : 582,834 = 582,834 : x
  2. Step 2: Convert to fraction form
    266,506/582,834 = 582,834/x
  3. Step 3: Cross multiply
    266,506x = 582,834 × 582,834
  4. Step 4: Simplify right side
    266,506x = 339,695,471,556
  5. Step 5: Solve for x
    x = 339,695,471,556/266,506
  6. Step 6: Final answer
    x = 1,274,625.98

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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.