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Finding the Third Proportional to 266,096 and 569,088

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Solution

The third proportional to 266,096 and 569,088 is: 1,217,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,096 : 569,088 = 569,088 : x
  2. Step 2: Convert to fraction form
    266,096/569,088 = 569,088/x
  3. Step 3: Cross multiply
    266,096x = 569,088 × 569,088
  4. Step 4: Simplify right side
    266,096x = 323,861,151,744
  5. Step 5: Solve for x
    x = 323,861,151,744/266,096
  6. Step 6: Final answer
    x = 1,217,083.88

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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.