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Finding the Third Proportional to 209,052 and 459,724

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Solution

The third proportional to 209,052 and 459,724 is: 1,010,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,052 : 459,724 = 459,724 : x
  2. Step 2: Convert to fraction form
    209,052/459,724 = 459,724/x
  3. Step 3: Cross multiply
    209,052x = 459,724 × 459,724
  4. Step 4: Simplify right side
    209,052x = 211,346,156,176
  5. Step 5: Solve for x
    x = 211,346,156,176/209,052
  6. Step 6: Final answer
    x = 1,010,974.09

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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.