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Finding the Third Proportional to 394,374 and 849,804

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Solution

The third proportional to 394,374 and 849,804 is: 1,831,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,374 : 849,804 = 849,804 : x
  2. Step 2: Convert to fraction form
    394,374/849,804 = 849,804/x
  3. Step 3: Cross multiply
    394,374x = 849,804 × 849,804
  4. Step 4: Simplify right side
    394,374x = 722,166,838,416
  5. Step 5: Solve for x
    x = 722,166,838,416/394,374
  6. Step 6: Final answer
    x = 1,831,172.54

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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.