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Finding the Third Proportional to 254,537.44 and 502,650.56

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Solution

The third proportional to 254,537.44 and 502,650.56 is: 992,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,537.44 : 502,650.56 = 502,650.56 : x
  2. Step 2: Convert to fraction form
    254,537.44/502,650.56 = 502,650.56/x
  3. Step 3: Cross multiply
    254,537.44x = 502,650.56 × 502,650.56
  4. Step 4: Simplify right side
    254,537.44x = 252,657,587,981.57
  5. Step 5: Solve for x
    x = 252,657,587,981.57/254,537.44
  6. Step 6: Final answer
    x = 992,614.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.