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Finding the Third Proportional to 213,736 and 470,132

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Solution

The third proportional to 213,736 and 470,132 is: 1,034,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,736 : 470,132 = 470,132 : x
  2. Step 2: Convert to fraction form
    213,736/470,132 = 470,132/x
  3. Step 3: Cross multiply
    213,736x = 470,132 × 470,132
  4. Step 4: Simplify right side
    213,736x = 221,024,097,424
  5. Step 5: Solve for x
    x = 221,024,097,424/213,736
  6. Step 6: Final answer
    x = 1,034,098.60

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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.