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Finding the Third Proportional to 343,270 and 717,908

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Solution

The third proportional to 343,270 and 717,908 is: 1,501,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,270 : 717,908 = 717,908 : x
  2. Step 2: Convert to fraction form
    343,270/717,908 = 717,908/x
  3. Step 3: Cross multiply
    343,270x = 717,908 × 717,908
  4. Step 4: Simplify right side
    343,270x = 515,391,896,464
  5. Step 5: Solve for x
    x = 515,391,896,464/343,270
  6. Step 6: Final answer
    x = 1,501,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.