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Finding the Third Proportional to 266,602 and 563,172

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Solution

The third proportional to 266,602 and 563,172 is: 1,189,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,602 : 563,172 = 563,172 : x
  2. Step 2: Convert to fraction form
    266,602/563,172 = 563,172/x
  3. Step 3: Cross multiply
    266,602x = 563,172 × 563,172
  4. Step 4: Simplify right side
    266,602x = 317,162,701,584
  5. Step 5: Solve for x
    x = 317,162,701,584/266,602
  6. Step 6: Final answer
    x = 1,189,648.62

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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.