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Finding the Third Proportional to 341,860 and 736,286

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Solution

The third proportional to 341,860 and 736,286 is: 1,585,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,860 : 736,286 = 736,286 : x
  2. Step 2: Convert to fraction form
    341,860/736,286 = 736,286/x
  3. Step 3: Cross multiply
    341,860x = 736,286 × 736,286
  4. Step 4: Simplify right side
    341,860x = 542,117,073,796
  5. Step 5: Solve for x
    x = 542,117,073,796/341,860
  6. Step 6: Final answer
    x = 1,585,786.80

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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.