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Finding the Third Proportional to 682,257.94 and 1,023,404.63

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Solution

The third proportional to 682,257.94 and 1,023,404.63 is: 1,535,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,257.94 : 1,023,404.63 = 1,023,404.63 : x
  2. Step 2: Convert to fraction form
    682,257.94/1,023,404.63 = 1,023,404.63/x
  3. Step 3: Cross multiply
    682,257.94x = 1,023,404.63 × 1,023,404.63
  4. Step 4: Simplify right side
    682,257.94x = 1,047,357,026,471.39
  5. Step 5: Solve for x
    x = 1,047,357,026,471.39/682,257.94
  6. Step 6: Final answer
    x = 1,535,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.