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Finding the Third Proportional to 213,300 and 457,704

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Solution

The third proportional to 213,300 and 457,704 is: 982,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,300 : 457,704 = 457,704 : x
  2. Step 2: Convert to fraction form
    213,300/457,704 = 457,704/x
  3. Step 3: Cross multiply
    213,300x = 457,704 × 457,704
  4. Step 4: Simplify right side
    213,300x = 209,492,951,616
  5. Step 5: Solve for x
    x = 209,492,951,616/213,300
  6. Step 6: Final answer
    x = 982,151.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.