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Finding the Third Proportional to 459,796 and 683,131

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Solution

The third proportional to 459,796 and 683,131 is: 1,014,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,796 : 683,131 = 683,131 : x
  2. Step 2: Convert to fraction form
    459,796/683,131 = 683,131/x
  3. Step 3: Cross multiply
    459,796x = 683,131 × 683,131
  4. Step 4: Simplify right side
    459,796x = 466,667,963,161
  5. Step 5: Solve for x
    x = 466,667,963,161/459,796
  6. Step 6: Final answer
    x = 1,014,945.68

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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.