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Finding the Third Proportional to 222,370 and 487,592

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Solution

The third proportional to 222,370 and 487,592 is: 1,069,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,370 : 487,592 = 487,592 : x
  2. Step 2: Convert to fraction form
    222,370/487,592 = 487,592/x
  3. Step 3: Cross multiply
    222,370x = 487,592 × 487,592
  4. Step 4: Simplify right side
    222,370x = 237,745,958,464
  5. Step 5: Solve for x
    x = 237,745,958,464/222,370
  6. Step 6: Final answer
    x = 1,069,145.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.