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Finding the Third Proportional to 519,837.75 and 772,132.50

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Solution

The third proportional to 519,837.75 and 772,132.50 is: 1,146,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,837.75 : 772,132.50 = 772,132.50 : x
  2. Step 2: Convert to fraction form
    519,837.75/772,132.50 = 772,132.50/x
  3. Step 3: Cross multiply
    519,837.75x = 772,132.50 × 772,132.50
  4. Step 4: Simplify right side
    519,837.75x = 596,188,597,556.25
  5. Step 5: Solve for x
    x = 596,188,597,556.25/519,837.75
  6. Step 6: Final answer
    x = 1,146,874.38

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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.