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Finding the Third Proportional to 384,161 and 838,306

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Solution

The third proportional to 384,161 and 838,306 is: 1,829,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,161 : 838,306 = 838,306 : x
  2. Step 2: Convert to fraction form
    384,161/838,306 = 838,306/x
  3. Step 3: Cross multiply
    384,161x = 838,306 × 838,306
  4. Step 4: Simplify right side
    384,161x = 702,756,949,636
  5. Step 5: Solve for x
    x = 702,756,949,636/384,161
  6. Step 6: Final answer
    x = 1,829,329.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.