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Finding the Third Proportional to 341,805 and 736,197

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Solution

The third proportional to 341,805 and 736,197 is: 1,585,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,805 : 736,197 = 736,197 : x
  2. Step 2: Convert to fraction form
    341,805/736,197 = 736,197/x
  3. Step 3: Cross multiply
    341,805x = 736,197 × 736,197
  4. Step 4: Simplify right side
    341,805x = 541,986,022,809
  5. Step 5: Solve for x
    x = 541,986,022,809/341,805
  6. Step 6: Final answer
    x = 1,585,658.56

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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.