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Finding the Third Proportional to 270,997.50 and 402,567

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Solution

The third proportional to 270,997.50 and 402,567 is: 598,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,997.50 : 402,567 = 402,567 : x
  2. Step 2: Convert to fraction form
    270,997.50/402,567 = 402,567/x
  3. Step 3: Cross multiply
    270,997.50x = 402,567 × 402,567
  4. Step 4: Simplify right side
    270,997.50x = 162,060,189,489
  5. Step 5: Solve for x
    x = 162,060,189,489/270,997.50
  6. Step 6: Final answer
    x = 598,013.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.