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Finding the Third Proportional to 266,078 and 578,086

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Solution

The third proportional to 266,078 and 578,086 is: 1,255,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,078 : 578,086 = 578,086 : x
  2. Step 2: Convert to fraction form
    266,078/578,086 = 578,086/x
  3. Step 3: Cross multiply
    266,078x = 578,086 × 578,086
  4. Step 4: Simplify right side
    266,078x = 334,183,423,396
  5. Step 5: Solve for x
    x = 334,183,423,396/266,078
  6. Step 6: Final answer
    x = 1,255,960.37

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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.