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Finding the Third Proportional to 214,141 and 466,418

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Solution

The third proportional to 214,141 and 466,418 is: 1,015,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141 : 466,418 = 466,418 : x
  2. Step 2: Convert to fraction form
    214,141/466,418 = 466,418/x
  3. Step 3: Cross multiply
    214,141x = 466,418 × 466,418
  4. Step 4: Simplify right side
    214,141x = 217,545,750,724
  5. Step 5: Solve for x
    x = 217,545,750,724/214,141
  6. Step 6: Final answer
    x = 1,015,899.57

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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.