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Finding the Third Proportional to 217,494 and 461,100

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Solution

The third proportional to 217,494 and 461,100 is: 977,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,494 : 461,100 = 461,100 : x
  2. Step 2: Convert to fraction form
    217,494/461,100 = 461,100/x
  3. Step 3: Cross multiply
    217,494x = 461,100 × 461,100
  4. Step 4: Simplify right side
    217,494x = 212,613,210,000
  5. Step 5: Solve for x
    x = 212,613,210,000/217,494
  6. Step 6: Final answer
    x = 977,558.97

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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.