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Finding the Third Proportional to 228,015 and 527,799

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Solution

The third proportional to 228,015 and 527,799 is: 1,221,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,015 : 527,799 = 527,799 : x
  2. Step 2: Convert to fraction form
    228,015/527,799 = 527,799/x
  3. Step 3: Cross multiply
    228,015x = 527,799 × 527,799
  4. Step 4: Simplify right side
    228,015x = 278,571,784,401
  5. Step 5: Solve for x
    x = 278,571,784,401/228,015
  6. Step 6: Final answer
    x = 1,221,725.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.