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Finding the Third Proportional to 266,044.50 and 544,522.50

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Solution

The third proportional to 266,044.50 and 544,522.50 is: 1,114,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,044.50 : 544,522.50 = 544,522.50 : x
  2. Step 2: Convert to fraction form
    266,044.50/544,522.50 = 544,522.50/x
  3. Step 3: Cross multiply
    266,044.50x = 544,522.50 × 544,522.50
  4. Step 4: Simplify right side
    266,044.50x = 296,504,753,006.25
  5. Step 5: Solve for x
    x = 296,504,753,006.25/266,044.50
  6. Step 6: Final answer
    x = 1,114,493.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.