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Finding the Third Proportional to 209,066 and 459,750

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Solution

The third proportional to 209,066 and 459,750 is: 1,011,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,066 : 459,750 = 459,750 : x
  2. Step 2: Convert to fraction form
    209,066/459,750 = 459,750/x
  3. Step 3: Cross multiply
    209,066x = 459,750 × 459,750
  4. Step 4: Simplify right side
    209,066x = 211,370,062,500
  5. Step 5: Solve for x
    x = 211,370,062,500/209,066
  6. Step 6: Final answer
    x = 1,011,020.74

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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.