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Finding the Third Proportional to 209,156 and 459,314

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Solution

The third proportional to 209,156 and 459,314 is: 1,008,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,156 : 459,314 = 459,314 : x
  2. Step 2: Convert to fraction form
    209,156/459,314 = 459,314/x
  3. Step 3: Cross multiply
    209,156x = 459,314 × 459,314
  4. Step 4: Simplify right side
    209,156x = 210,969,350,596
  5. Step 5: Solve for x
    x = 210,969,350,596/209,156
  6. Step 6: Final answer
    x = 1,008,669.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.