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Finding the Third Proportional to 228,025 and 527,895

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Solution

The third proportional to 228,025 and 527,895 is: 1,222,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,025 : 527,895 = 527,895 : x
  2. Step 2: Convert to fraction form
    228,025/527,895 = 527,895/x
  3. Step 3: Cross multiply
    228,025x = 527,895 × 527,895
  4. Step 4: Simplify right side
    228,025x = 278,673,131,025
  5. Step 5: Solve for x
    x = 278,673,131,025/228,025
  6. Step 6: Final answer
    x = 1,222,116.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.