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Finding the Third Proportional to 394,368 and 849,792

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Solution

The third proportional to 394,368 and 849,792 is: 1,831,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,368 : 849,792 = 849,792 : x
  2. Step 2: Convert to fraction form
    394,368/849,792 = 849,792/x
  3. Step 3: Cross multiply
    394,368x = 849,792 × 849,792
  4. Step 4: Simplify right side
    394,368x = 722,146,443,264
  5. Step 5: Solve for x
    x = 722,146,443,264/394,368
  6. Step 6: Final answer
    x = 1,831,148.68

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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.