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Finding the Third Proportional to 222,916 and 487,304

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Solution

The third proportional to 222,916 and 487,304 is: 1,065,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,916 : 487,304 = 487,304 : x
  2. Step 2: Convert to fraction form
    222,916/487,304 = 487,304/x
  3. Step 3: Cross multiply
    222,916x = 487,304 × 487,304
  4. Step 4: Simplify right side
    222,916x = 237,465,188,416
  5. Step 5: Solve for x
    x = 237,465,188,416/222,916
  6. Step 6: Final answer
    x = 1,065,267.58

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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.