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Finding the Third Proportional to 381,196 and 535,504

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Solution

The third proportional to 381,196 and 535,504 is: 752,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196 : 535,504 = 535,504 : x
  2. Step 2: Convert to fraction form
    381,196/535,504 = 535,504/x
  3. Step 3: Cross multiply
    381,196x = 535,504 × 535,504
  4. Step 4: Simplify right side
    381,196x = 286,764,534,016
  5. Step 5: Solve for x
    x = 286,764,534,016/381,196
  6. Step 6: Final answer
    x = 752,275.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.