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Finding the Third Proportional to 254,558.25 and 502,693.88

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Solution

The third proportional to 254,558.25 and 502,693.88 is: 992,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,558.25 : 502,693.88 = 502,693.88 : x
  2. Step 2: Convert to fraction form
    254,558.25/502,693.88 = 502,693.88/x
  3. Step 3: Cross multiply
    254,558.25x = 502,693.88 × 502,693.88
  4. Step 4: Simplify right side
    254,558.25x = 252,701,131,962.52
  5. Step 5: Solve for x
    x = 252,701,131,962.52/254,558.25
  6. Step 6: Final answer
    x = 992,704.55

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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.