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Finding the Third Proportional to 217,493.75 and 461,099.50

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Solution

The third proportional to 217,493.75 and 461,099.50 is: 977,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,493.75 : 461,099.50 = 461,099.50 : x
  2. Step 2: Convert to fraction form
    217,493.75/461,099.50 = 461,099.50/x
  3. Step 3: Cross multiply
    217,493.75x = 461,099.50 × 461,099.50
  4. Step 4: Simplify right side
    217,493.75x = 212,612,748,900.25
  5. Step 5: Solve for x
    x = 212,612,748,900.25/217,493.75
  6. Step 6: Final answer
    x = 977,557.97

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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.