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Finding the Third Proportional to 209,400 and 460,272

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Solution

The third proportional to 209,400 and 460,272 is: 1,011,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,400 : 460,272 = 460,272 : x
  2. Step 2: Convert to fraction form
    209,400/460,272 = 460,272/x
  3. Step 3: Cross multiply
    209,400x = 460,272 × 460,272
  4. Step 4: Simplify right side
    209,400x = 211,850,313,984
  5. Step 5: Solve for x
    x = 211,850,313,984/209,400
  6. Step 6: Final answer
    x = 1,011,701.59

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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.