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Finding the Third Proportional to 222,336 and 487,884

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Solution

The third proportional to 222,336 and 487,884 is: 1,070,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,336 : 487,884 = 487,884 : x
  2. Step 2: Convert to fraction form
    222,336/487,884 = 487,884/x
  3. Step 3: Cross multiply
    222,336x = 487,884 × 487,884
  4. Step 4: Simplify right side
    222,336x = 238,030,797,456
  5. Step 5: Solve for x
    x = 238,030,797,456/222,336
  6. Step 6: Final answer
    x = 1,070,590.45

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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.