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Finding the Third Proportional to 222,574.24 and 524,886.41

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Solution

The third proportional to 222,574.24 and 524,886.41 is: 1,237,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,574.24 : 524,886.41 = 524,886.41 : x
  2. Step 2: Convert to fraction form
    222,574.24/524,886.41 = 524,886.41/x
  3. Step 3: Cross multiply
    222,574.24x = 524,886.41 × 524,886.41
  4. Step 4: Simplify right side
    222,574.24x = 275,505,740,491.22
  5. Step 5: Solve for x
    x = 275,505,740,491.22/222,574.24
  6. Step 6: Final answer
    x = 1,237,815.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.