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Finding the Third Proportional to 213,808.50 and 467,329.50

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Solution

The third proportional to 213,808.50 and 467,329.50 is: 1,021,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,808.50 : 467,329.50 = 467,329.50 : x
  2. Step 2: Convert to fraction form
    213,808.50/467,329.50 = 467,329.50/x
  3. Step 3: Cross multiply
    213,808.50x = 467,329.50 × 467,329.50
  4. Step 4: Simplify right side
    213,808.50x = 218,396,861,570.25
  5. Step 5: Solve for x
    x = 218,396,861,570.25/213,808.50
  6. Step 6: Final answer
    x = 1,021,460.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.