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Finding the Third Proportional to 772,503.75 and 1,682,280.56

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Solution

The third proportional to 772,503.75 and 1,682,280.56 is: 3,663,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,503.75 : 1,682,280.56 = 1,682,280.56 : x
  2. Step 2: Convert to fraction form
    772,503.75/1,682,280.56 = 1,682,280.56/x
  3. Step 3: Cross multiply
    772,503.75x = 1,682,280.56 × 1,682,280.56
  4. Step 4: Simplify right side
    772,503.75x = 2,830,067,890,965.32
  5. Step 5: Solve for x
    x = 2,830,067,890,965.32/772,503.75
  6. Step 6: Final answer
    x = 3,663,500.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.