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Finding the Third Proportional to 368,181 and 794,322

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Solution

The third proportional to 368,181 and 794,322 is: 1,713,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,181 : 794,322 = 794,322 : x
  2. Step 2: Convert to fraction form
    368,181/794,322 = 794,322/x
  3. Step 3: Cross multiply
    368,181x = 794,322 × 794,322
  4. Step 4: Simplify right side
    368,181x = 630,947,439,684
  5. Step 5: Solve for x
    x = 630,947,439,684/368,181
  6. Step 6: Final answer
    x = 1,713,688.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.