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Finding the Third Proportional to 216,715.50 and 466,782.75

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Solution

The third proportional to 216,715.50 and 466,782.75 is: 1,005,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,715.50 : 466,782.75 = 466,782.75 : x
  2. Step 2: Convert to fraction form
    216,715.50/466,782.75 = 466,782.75/x
  3. Step 3: Cross multiply
    216,715.50x = 466,782.75 × 466,782.75
  4. Step 4: Simplify right side
    216,715.50x = 217,886,135,697.56
  5. Step 5: Solve for x
    x = 217,886,135,697.56/216,715.50
  6. Step 6: Final answer
    x = 1,005,401.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.