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Finding the Third Proportional to 266,549 and 563,026

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Solution

The third proportional to 266,549 and 563,026 is: 1,189,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,549 : 563,026 = 563,026 : x
  2. Step 2: Convert to fraction form
    266,549/563,026 = 563,026/x
  3. Step 3: Cross multiply
    266,549x = 563,026 × 563,026
  4. Step 4: Simplify right side
    266,549x = 316,998,276,676
  5. Step 5: Solve for x
    x = 316,998,276,676/266,549
  6. Step 6: Final answer
    x = 1,189,268.30

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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.