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Finding the Third Proportional to 343,279.69 and 717,930

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Solution

The third proportional to 343,279.69 and 717,930 is: 1,501,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,279.69 : 717,930 = 717,930 : x
  2. Step 2: Convert to fraction form
    343,279.69/717,930 = 717,930/x
  3. Step 3: Cross multiply
    343,279.69x = 717,930 × 717,930
  4. Step 4: Simplify right side
    343,279.69x = 515,423,484,900
  5. Step 5: Solve for x
    x = 515,423,484,900/343,279.69
  6. Step 6: Final answer
    x = 1,501,468.06

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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.