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Finding the Third Proportional to 388,334 and 834,306

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Solution

The third proportional to 388,334 and 834,306 is: 1,792,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,334 : 834,306 = 834,306 : x
  2. Step 2: Convert to fraction form
    388,334/834,306 = 834,306/x
  3. Step 3: Cross multiply
    388,334x = 834,306 × 834,306
  4. Step 4: Simplify right side
    388,334x = 696,066,501,636
  5. Step 5: Solve for x
    x = 696,066,501,636/388,334
  6. Step 6: Final answer
    x = 1,792,442.85

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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.