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Finding the Third Proportional to 217,804.50 and 467,124.75

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Solution

The third proportional to 217,804.50 and 467,124.75 is: 1,001,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,804.50 : 467,124.75 = 467,124.75 : x
  2. Step 2: Convert to fraction form
    217,804.50/467,124.75 = 467,124.75/x
  3. Step 3: Cross multiply
    217,804.50x = 467,124.75 × 467,124.75
  4. Step 4: Simplify right side
    217,804.50x = 218,205,532,062.56
  5. Step 5: Solve for x
    x = 218,205,532,062.56/217,804.50
  6. Step 6: Final answer
    x = 1,001,841.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.