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Finding the Third Proportional to 341,786 and 736,163

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Solution

The third proportional to 341,786 and 736,163 is: 1,585,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,786 : 736,163 = 736,163 : x
  2. Step 2: Convert to fraction form
    341,786/736,163 = 736,163/x
  3. Step 3: Cross multiply
    341,786x = 736,163 × 736,163
  4. Step 4: Simplify right side
    341,786x = 541,935,962,569
  5. Step 5: Solve for x
    x = 541,935,962,569/341,786
  6. Step 6: Final answer
    x = 1,585,600.24

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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.