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Finding the Third Proportional to 213,037.88 and 464,208.75

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Solution

The third proportional to 213,037.88 and 464,208.75 is: 1,011,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,037.88 : 464,208.75 = 464,208.75 : x
  2. Step 2: Convert to fraction form
    213,037.88/464,208.75 = 464,208.75/x
  3. Step 3: Cross multiply
    213,037.88x = 464,208.75 × 464,208.75
  4. Step 4: Simplify right side
    213,037.88x = 215,489,763,576.56
  5. Step 5: Solve for x
    x = 215,489,763,576.56/213,037.88
  6. Step 6: Final answer
    x = 1,011,509.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.