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Finding the Third Proportional to 459,786.38 and 683,118.56

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Solution

The third proportional to 459,786.38 and 683,118.56 is: 1,014,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,786.38 : 683,118.56 = 683,118.56 : x
  2. Step 2: Convert to fraction form
    459,786.38/683,118.56 = 683,118.56/x
  3. Step 3: Cross multiply
    459,786.38x = 683,118.56 × 683,118.56
  4. Step 4: Simplify right side
    459,786.38x = 466,650,970,432.07
  5. Step 5: Solve for x
    x = 466,650,970,432.07/459,786.38
  6. Step 6: Final answer
    x = 1,014,929.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.