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Finding the Third Proportional to 217,012.50 and 475,401

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Solution

The third proportional to 217,012.50 and 475,401 is: 1,041,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,012.50 : 475,401 = 475,401 : x
  2. Step 2: Convert to fraction form
    217,012.50/475,401 = 475,401/x
  3. Step 3: Cross multiply
    217,012.50x = 475,401 × 475,401
  4. Step 4: Simplify right side
    217,012.50x = 226,006,110,801
  5. Step 5: Solve for x
    x = 226,006,110,801/217,012.50
  6. Step 6: Final answer
    x = 1,041,442.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.