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Finding the Third Proportional to 334,658 and 717,844

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Solution

The third proportional to 334,658 and 717,844 is: 1,539,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,658 : 717,844 = 717,844 : x
  2. Step 2: Convert to fraction form
    334,658/717,844 = 717,844/x
  3. Step 3: Cross multiply
    334,658x = 717,844 × 717,844
  4. Step 4: Simplify right side
    334,658x = 515,300,008,336
  5. Step 5: Solve for x
    x = 515,300,008,336/334,658
  6. Step 6: Final answer
    x = 1,539,780.94

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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.