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Finding the Third Proportional to 266,591 and 563,152

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Solution

The third proportional to 266,591 and 563,152 is: 1,189,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,591 : 563,152 = 563,152 : x
  2. Step 2: Convert to fraction form
    266,591/563,152 = 563,152/x
  3. Step 3: Cross multiply
    266,591x = 563,152 × 563,152
  4. Step 4: Simplify right side
    266,591x = 317,140,175,104
  5. Step 5: Solve for x
    x = 317,140,175,104/266,591
  6. Step 6: Final answer
    x = 1,189,613.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.