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Finding the Third Proportional to 266,861 and 586,206

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Solution

The third proportional to 266,861 and 586,206 is: 1,287,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,861 : 586,206 = 586,206 : x
  2. Step 2: Convert to fraction form
    266,861/586,206 = 586,206/x
  3. Step 3: Cross multiply
    266,861x = 586,206 × 586,206
  4. Step 4: Simplify right side
    266,861x = 343,637,474,436
  5. Step 5: Solve for x
    x = 343,637,474,436/266,861
  6. Step 6: Final answer
    x = 1,287,702.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.