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Finding the Third Proportional to 393,588 and 815,181

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Solution

The third proportional to 393,588 and 815,181 is: 1,688,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,588 : 815,181 = 815,181 : x
  2. Step 2: Convert to fraction form
    393,588/815,181 = 815,181/x
  3. Step 3: Cross multiply
    393,588x = 815,181 × 815,181
  4. Step 4: Simplify right side
    393,588x = 664,520,062,761
  5. Step 5: Solve for x
    x = 664,520,062,761/393,588
  6. Step 6: Final answer
    x = 1,688,364.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.