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Finding the Third Proportional to 222,594 and 333,827

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Solution

The third proportional to 222,594 and 333,827 is: 500,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,594 : 333,827 = 333,827 : x
  2. Step 2: Convert to fraction form
    222,594/333,827 = 333,827/x
  3. Step 3: Cross multiply
    222,594x = 333,827 × 333,827
  4. Step 4: Simplify right side
    222,594x = 111,440,465,929
  5. Step 5: Solve for x
    x = 111,440,465,929/222,594
  6. Step 6: Final answer
    x = 500,644.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.