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Finding the Third Proportional to 601,762.50 and 1,253,934

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Solution

The third proportional to 601,762.50 and 1,253,934 is: 2,612,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,762.50 : 1,253,934 = 1,253,934 : x
  2. Step 2: Convert to fraction form
    601,762.50/1,253,934 = 1,253,934/x
  3. Step 3: Cross multiply
    601,762.50x = 1,253,934 × 1,253,934
  4. Step 4: Simplify right side
    601,762.50x = 1,572,350,476,356
  5. Step 5: Solve for x
    x = 1,572,350,476,356/601,762.50
  6. Step 6: Final answer
    x = 2,612,908.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.