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Finding the Third Proportional to 211,455.56 and 464,970.38

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Solution

The third proportional to 211,455.56 and 464,970.38 is: 1,022,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,455.56 : 464,970.38 = 464,970.38 : x
  2. Step 2: Convert to fraction form
    211,455.56/464,970.38 = 464,970.38/x
  3. Step 3: Cross multiply
    211,455.56x = 464,970.38 × 464,970.38
  4. Step 4: Simplify right side
    211,455.56x = 216,197,449,627.64
  5. Step 5: Solve for x
    x = 216,197,449,627.64/211,455.56
  6. Step 6: Final answer
    x = 1,022,424.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.