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Finding the Third Proportional to 334,664 and 717,856

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Solution

The third proportional to 334,664 and 717,856 is: 1,539,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,664 : 717,856 = 717,856 : x
  2. Step 2: Convert to fraction form
    334,664/717,856 = 717,856/x
  3. Step 3: Cross multiply
    334,664x = 717,856 × 717,856
  4. Step 4: Simplify right side
    334,664x = 515,317,236,736
  5. Step 5: Solve for x
    x = 515,317,236,736/334,664
  6. Step 6: Final answer
    x = 1,539,804.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.