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Finding the Third Proportional to 222,454.88 and 524,903.25

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Solution

The third proportional to 222,454.88 and 524,903.25 is: 1,238,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,454.88 : 524,903.25 = 524,903.25 : x
  2. Step 2: Convert to fraction form
    222,454.88/524,903.25 = 524,903.25/x
  3. Step 3: Cross multiply
    222,454.88x = 524,903.25 × 524,903.25
  4. Step 4: Simplify right side
    222,454.88x = 275,523,421,860.56
  5. Step 5: Solve for x
    x = 275,523,421,860.56/222,454.88
  6. Step 6: Final answer
    x = 1,238,558.70

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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.