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Finding the Third Proportional to 338,931 and 525,233

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Solution

The third proportional to 338,931 and 525,233 is: 813,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,931 : 525,233 = 525,233 : x
  2. Step 2: Convert to fraction form
    338,931/525,233 = 525,233/x
  3. Step 3: Cross multiply
    338,931x = 525,233 × 525,233
  4. Step 4: Simplify right side
    338,931x = 275,869,704,289
  5. Step 5: Solve for x
    x = 275,869,704,289/338,931
  6. Step 6: Final answer
    x = 813,940.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.