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Finding the Third Proportional to 781,777.50 and 1,165,832

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Solution

The third proportional to 781,777.50 and 1,165,832 is: 1,738,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,777.50 : 1,165,832 = 1,165,832 : x
  2. Step 2: Convert to fraction form
    781,777.50/1,165,832 = 1,165,832/x
  3. Step 3: Cross multiply
    781,777.50x = 1,165,832 × 1,165,832
  4. Step 4: Simplify right side
    781,777.50x = 1,359,164,252,224
  5. Step 5: Solve for x
    x = 1,359,164,252,224/781,777.50
  6. Step 6: Final answer
    x = 1,738,556.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.