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Finding the Third Proportional to 351,992 and 720,386

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Solution

The third proportional to 351,992 and 720,386 is: 1,474,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,992 : 720,386 = 720,386 : x
  2. Step 2: Convert to fraction form
    351,992/720,386 = 720,386/x
  3. Step 3: Cross multiply
    351,992x = 720,386 × 720,386
  4. Step 4: Simplify right side
    351,992x = 518,955,988,996
  5. Step 5: Solve for x
    x = 518,955,988,996/351,992
  6. Step 6: Final answer
    x = 1,474,340.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.