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Finding the Third Proportional to 266,553 and 563,034

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Solution

The third proportional to 266,553 and 563,034 is: 1,189,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,553 : 563,034 = 563,034 : x
  2. Step 2: Convert to fraction form
    266,553/563,034 = 563,034/x
  3. Step 3: Cross multiply
    266,553x = 563,034 × 563,034
  4. Step 4: Simplify right side
    266,553x = 317,007,285,156
  5. Step 5: Solve for x
    x = 317,007,285,156/266,553
  6. Step 6: Final answer
    x = 1,189,284.25

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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.