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Finding the Third Proportional to 209,068 and 459,754

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Solution

The third proportional to 209,068 and 459,754 is: 1,011,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,068 : 459,754 = 459,754 : x
  2. Step 2: Convert to fraction form
    209,068/459,754 = 459,754/x
  3. Step 3: Cross multiply
    209,068x = 459,754 × 459,754
  4. Step 4: Simplify right side
    209,068x = 211,373,740,516
  5. Step 5: Solve for x
    x = 211,373,740,516/209,068
  6. Step 6: Final answer
    x = 1,011,028.66

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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.