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Finding the Third Proportional to 266,550 and 563,028

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Solution

The third proportional to 266,550 and 563,028 is: 1,189,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,550 : 563,028 = 563,028 : x
  2. Step 2: Convert to fraction form
    266,550/563,028 = 563,028/x
  3. Step 3: Cross multiply
    266,550x = 563,028 × 563,028
  4. Step 4: Simplify right side
    266,550x = 317,000,528,784
  5. Step 5: Solve for x
    x = 317,000,528,784/266,550
  6. Step 6: Final answer
    x = 1,189,272.29

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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.