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Finding the Third Proportional to 341,991 and 743,022

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Solution

The third proportional to 341,991 and 743,022 is: 1,614,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,991 : 743,022 = 743,022 : x
  2. Step 2: Convert to fraction form
    341,991/743,022 = 743,022/x
  3. Step 3: Cross multiply
    341,991x = 743,022 × 743,022
  4. Step 4: Simplify right side
    341,991x = 552,081,692,484
  5. Step 5: Solve for x
    x = 552,081,692,484/341,991
  6. Step 6: Final answer
    x = 1,614,316.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.