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Finding the Third Proportional to 209,060 and 459,738

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Solution

The third proportional to 209,060 and 459,738 is: 1,010,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,060 : 459,738 = 459,738 : x
  2. Step 2: Convert to fraction form
    209,060/459,738 = 459,738/x
  3. Step 3: Cross multiply
    209,060x = 459,738 × 459,738
  4. Step 4: Simplify right side
    209,060x = 211,359,028,644
  5. Step 5: Solve for x
    x = 211,359,028,644/209,060
  6. Step 6: Final answer
    x = 1,010,996.98

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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.