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Finding the Third Proportional to 330,801.47 and 717,614.44

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Solution

The third proportional to 330,801.47 and 717,614.44 is: 1,556,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,801.47 : 717,614.44 = 717,614.44 : x
  2. Step 2: Convert to fraction form
    330,801.47/717,614.44 = 717,614.44/x
  3. Step 3: Cross multiply
    330,801.47x = 717,614.44 × 717,614.44
  4. Step 4: Simplify right side
    330,801.47x = 514,970,480,908.44
  5. Step 5: Solve for x
    x = 514,970,480,908.44/330,801.47
  6. Step 6: Final answer
    x = 1,556,735.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.