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Finding the Third Proportional to 214,302 and 466,702

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Solution

The third proportional to 214,302 and 466,702 is: 1,016,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,302 : 466,702 = 466,702 : x
  2. Step 2: Convert to fraction form
    214,302/466,702 = 466,702/x
  3. Step 3: Cross multiply
    214,302x = 466,702 × 466,702
  4. Step 4: Simplify right side
    214,302x = 217,810,756,804
  5. Step 5: Solve for x
    x = 217,810,756,804/214,302
  6. Step 6: Final answer
    x = 1,016,372.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.