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Finding the Third Proportional to 213,900.75 and 464,752.69

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Solution

The third proportional to 213,900.75 and 464,752.69 is: 1,009,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,900.75 : 464,752.69 = 464,752.69 : x
  2. Step 2: Convert to fraction form
    213,900.75/464,752.69 = 464,752.69/x
  3. Step 3: Cross multiply
    213,900.75x = 464,752.69 × 464,752.69
  4. Step 4: Simplify right side
    213,900.75x = 215,995,060,538.47
  5. Step 5: Solve for x
    x = 215,995,060,538.47/213,900.75
  6. Step 6: Final answer
    x = 1,009,791.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.