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Finding the Third Proportional to 217,806.75 and 466,717.50

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Solution

The third proportional to 217,806.75 and 466,717.50 is: 1,000,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,806.75 : 466,717.50 = 466,717.50 : x
  2. Step 2: Convert to fraction form
    217,806.75/466,717.50 = 466,717.50/x
  3. Step 3: Cross multiply
    217,806.75x = 466,717.50 × 466,717.50
  4. Step 4: Simplify right side
    217,806.75x = 217,825,224,806.25
  5. Step 5: Solve for x
    x = 217,825,224,806.25/217,806.75
  6. Step 6: Final answer
    x = 1,000,084.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.