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Finding the Third Proportional to 222,740 and 467,352

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Solution

The third proportional to 222,740 and 467,352 is: 980,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,740 : 467,352 = 467,352 : x
  2. Step 2: Convert to fraction form
    222,740/467,352 = 467,352/x
  3. Step 3: Cross multiply
    222,740x = 467,352 × 467,352
  4. Step 4: Simplify right side
    222,740x = 218,417,891,904
  5. Step 5: Solve for x
    x = 218,417,891,904/222,740
  6. Step 6: Final answer
    x = 980,595.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.