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Finding the Third Proportional to 351,844 and 715,976

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Solution

The third proportional to 351,844 and 715,976 is: 1,456,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,844 : 715,976 = 715,976 : x
  2. Step 2: Convert to fraction form
    351,844/715,976 = 715,976/x
  3. Step 3: Cross multiply
    351,844x = 715,976 × 715,976
  4. Step 4: Simplify right side
    351,844x = 512,621,632,576
  5. Step 5: Solve for x
    x = 512,621,632,576/351,844
  6. Step 6: Final answer
    x = 1,456,957.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.