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Finding the Third Proportional to 217,808 and 462,052

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Solution

The third proportional to 217,808 and 462,052 is: 980,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,808 : 462,052 = 462,052 : x
  2. Step 2: Convert to fraction form
    217,808/462,052 = 462,052/x
  3. Step 3: Cross multiply
    217,808x = 462,052 × 462,052
  4. Step 4: Simplify right side
    217,808x = 213,492,050,704
  5. Step 5: Solve for x
    x = 213,492,050,704/217,808
  6. Step 6: Final answer
    x = 980,184.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.