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Finding the Third Proportional to 343,284.75 and 717,939.75

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Solution

The third proportional to 343,284.75 and 717,939.75 is: 1,501,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,284.75 : 717,939.75 = 717,939.75 : x
  2. Step 2: Convert to fraction form
    343,284.75/717,939.75 = 717,939.75/x
  3. Step 3: Cross multiply
    343,284.75x = 717,939.75 × 717,939.75
  4. Step 4: Simplify right side
    343,284.75x = 515,437,484,630.06
  5. Step 5: Solve for x
    x = 515,437,484,630.06/343,284.75
  6. Step 6: Final answer
    x = 1,501,486.69

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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.