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Finding the Third Proportional to 266,024.50 and 574,253

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Solution

The third proportional to 266,024.50 and 574,253 is: 1,239,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,024.50 : 574,253 = 574,253 : x
  2. Step 2: Convert to fraction form
    266,024.50/574,253 = 574,253/x
  3. Step 3: Cross multiply
    266,024.50x = 574,253 × 574,253
  4. Step 4: Simplify right side
    266,024.50x = 329,766,508,009
  5. Step 5: Solve for x
    x = 329,766,508,009/266,024.50
  6. Step 6: Final answer
    x = 1,239,609.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.