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Finding the Third Proportional to 222,698 and 456,328

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Solution

The third proportional to 222,698 and 456,328 is: 935,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,698 : 456,328 = 456,328 : x
  2. Step 2: Convert to fraction form
    222,698/456,328 = 456,328/x
  3. Step 3: Cross multiply
    222,698x = 456,328 × 456,328
  4. Step 4: Simplify right side
    222,698x = 208,235,243,584
  5. Step 5: Solve for x
    x = 208,235,243,584/222,698
  6. Step 6: Final answer
    x = 935,056.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.