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Finding the Third Proportional to 225,035 and 531,216

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Solution

The third proportional to 225,035 and 531,216 is: 1,253,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,035 : 531,216 = 531,216 : x
  2. Step 2: Convert to fraction form
    225,035/531,216 = 531,216/x
  3. Step 3: Cross multiply
    225,035x = 531,216 × 531,216
  4. Step 4: Simplify right side
    225,035x = 282,190,438,656
  5. Step 5: Solve for x
    x = 282,190,438,656/225,035
  6. Step 6: Final answer
    x = 1,253,984.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.