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Finding the Third Proportional to 384,214 and 617,326

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Solution

The third proportional to 384,214 and 617,326 is: 991,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214 : 617,326 = 617,326 : x
  2. Step 2: Convert to fraction form
    384,214/617,326 = 617,326/x
  3. Step 3: Cross multiply
    384,214x = 617,326 × 617,326
  4. Step 4: Simplify right side
    384,214x = 381,091,390,276
  5. Step 5: Solve for x
    x = 381,091,390,276/384,214
  6. Step 6: Final answer
    x = 991,872.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.