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Finding the Third Proportional to 367,566 and 791,448

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Solution

The third proportional to 367,566 and 791,448 is: 1,704,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,566 : 791,448 = 791,448 : x
  2. Step 2: Convert to fraction form
    367,566/791,448 = 791,448/x
  3. Step 3: Cross multiply
    367,566x = 791,448 × 791,448
  4. Step 4: Simplify right side
    367,566x = 626,389,936,704
  5. Step 5: Solve for x
    x = 626,389,936,704/367,566
  6. Step 6: Final answer
    x = 1,704,156.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.