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Finding the Third Proportional to 214,569 and 324,617

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Solution

The third proportional to 214,569 and 324,617 is: 491,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,569 : 324,617 = 324,617 : x
  2. Step 2: Convert to fraction form
    214,569/324,617 = 324,617/x
  3. Step 3: Cross multiply
    214,569x = 324,617 × 324,617
  4. Step 4: Simplify right side
    214,569x = 105,376,196,689
  5. Step 5: Solve for x
    x = 105,376,196,689/214,569
  6. Step 6: Final answer
    x = 491,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.