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Finding the Third Proportional to 217,332 and 458,263

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Solution

The third proportional to 217,332 and 458,263 is: 966,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,332 : 458,263 = 458,263 : x
  2. Step 2: Convert to fraction form
    217,332/458,263 = 458,263/x
  3. Step 3: Cross multiply
    217,332x = 458,263 × 458,263
  4. Step 4: Simplify right side
    217,332x = 210,004,977,169
  5. Step 5: Solve for x
    x = 210,004,977,169/217,332
  6. Step 6: Final answer
    x = 966,286.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.