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Finding the Third Proportional to 217,777.50 and 468,927

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Solution

The third proportional to 217,777.50 and 468,927 is: 1,009,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,777.50 : 468,927 = 468,927 : x
  2. Step 2: Convert to fraction form
    217,777.50/468,927 = 468,927/x
  3. Step 3: Cross multiply
    217,777.50x = 468,927 × 468,927
  4. Step 4: Simplify right side
    217,777.50x = 219,892,531,329
  5. Step 5: Solve for x
    x = 219,892,531,329/217,777.50
  6. Step 6: Final answer
    x = 1,009,711.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.