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Finding the Third Proportional to 320,243.50 and 693,081

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Solution

The third proportional to 320,243.50 and 693,081 is: 1,499,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,243.50 : 693,081 = 693,081 : x
  2. Step 2: Convert to fraction form
    320,243.50/693,081 = 693,081/x
  3. Step 3: Cross multiply
    320,243.50x = 693,081 × 693,081
  4. Step 4: Simplify right side
    320,243.50x = 480,361,272,561
  5. Step 5: Solve for x
    x = 480,361,272,561/320,243.50
  6. Step 6: Final answer
    x = 1,499,987.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.