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Finding the Third Proportional to 334,666 and 717,860

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Solution

The third proportional to 334,666 and 717,860 is: 1,539,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,666 : 717,860 = 717,860 : x
  2. Step 2: Convert to fraction form
    334,666/717,860 = 717,860/x
  3. Step 3: Cross multiply
    334,666x = 717,860 × 717,860
  4. Step 4: Simplify right side
    334,666x = 515,322,979,600
  5. Step 5: Solve for x
    x = 515,322,979,600/334,666
  6. Step 6: Final answer
    x = 1,539,812.77

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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.