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Finding the Third Proportional to 222,582.75 and 524,907

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Solution

The third proportional to 222,582.75 and 524,907 is: 1,237,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,582.75 : 524,907 = 524,907 : x
  2. Step 2: Convert to fraction form
    222,582.75/524,907 = 524,907/x
  3. Step 3: Cross multiply
    222,582.75x = 524,907 × 524,907
  4. Step 4: Simplify right side
    222,582.75x = 275,527,358,649
  5. Step 5: Solve for x
    x = 275,527,358,649/222,582.75
  6. Step 6: Final answer
    x = 1,237,864.83

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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.