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Finding the Third Proportional to 222,575.50 and 524,890.25

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Solution

The third proportional to 222,575.50 and 524,890.25 is: 1,237,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,575.50 : 524,890.25 = 524,890.25 : x
  2. Step 2: Convert to fraction form
    222,575.50/524,890.25 = 524,890.25/x
  3. Step 3: Cross multiply
    222,575.50x = 524,890.25 × 524,890.25
  4. Step 4: Simplify right side
    222,575.50x = 275,509,774,545.06
  5. Step 5: Solve for x
    x = 275,509,774,545.06/222,575.50
  6. Step 6: Final answer
    x = 1,237,826.15

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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.