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Finding the Third Proportional to 427,197 and 662,333

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Solution

The third proportional to 427,197 and 662,333 is: 1,026,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,197 : 662,333 = 662,333 : x
  2. Step 2: Convert to fraction form
    427,197/662,333 = 662,333/x
  3. Step 3: Cross multiply
    427,197x = 662,333 × 662,333
  4. Step 4: Simplify right side
    427,197x = 438,685,002,889
  5. Step 5: Solve for x
    x = 438,685,002,889/427,197
  6. Step 6: Final answer
    x = 1,026,891.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.