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Finding the Third Proportional to 682,981.88 and 1,002,329.44

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Solution

The third proportional to 682,981.88 and 1,002,329.44 is: 1,470,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,981.88 : 1,002,329.44 = 1,002,329.44 : x
  2. Step 2: Convert to fraction form
    682,981.88/1,002,329.44 = 1,002,329.44/x
  3. Step 3: Cross multiply
    682,981.88x = 1,002,329.44 × 1,002,329.44
  4. Step 4: Simplify right side
    682,981.88x = 1,004,664,301,279.07
  5. Step 5: Solve for x
    x = 1,004,664,301,279.07/682,981.88
  6. Step 6: Final answer
    x = 1,470,997.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.