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Finding the Third Proportional to 217,584 and 461,268

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Solution

The third proportional to 217,584 and 461,268 is: 977,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,584 : 461,268 = 461,268 : x
  2. Step 2: Convert to fraction form
    217,584/461,268 = 461,268/x
  3. Step 3: Cross multiply
    217,584x = 461,268 × 461,268
  4. Step 4: Simplify right side
    217,584x = 212,768,167,824
  5. Step 5: Solve for x
    x = 212,768,167,824/217,584
  6. Step 6: Final answer
    x = 977,866.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.