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Finding the Third Proportional to 213,640.88 and 466,980.75

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Solution

The third proportional to 213,640.88 and 466,980.75 is: 1,020,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,640.88 : 466,980.75 = 466,980.75 : x
  2. Step 2: Convert to fraction form
    213,640.88/466,980.75 = 466,980.75/x
  3. Step 3: Cross multiply
    213,640.88x = 466,980.75 × 466,980.75
  4. Step 4: Simplify right side
    213,640.88x = 218,071,020,870.56
  5. Step 5: Solve for x
    x = 218,071,020,870.56/213,640.88
  6. Step 6: Final answer
    x = 1,020,736.42

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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.