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Finding the Third Proportional to 343,266 and 717,900

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Solution

The third proportional to 343,266 and 717,900 is: 1,501,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,266 : 717,900 = 717,900 : x
  2. Step 2: Convert to fraction form
    343,266/717,900 = 717,900/x
  3. Step 3: Cross multiply
    343,266x = 717,900 × 717,900
  4. Step 4: Simplify right side
    343,266x = 515,380,410,000
  5. Step 5: Solve for x
    x = 515,380,410,000/343,266
  6. Step 6: Final answer
    x = 1,501,402.44

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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.