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Finding the Third Proportional to 217,082.25 and 462,838.50

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Solution

The third proportional to 217,082.25 and 462,838.50 is: 986,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,082.25 : 462,838.50 = 462,838.50 : x
  2. Step 2: Convert to fraction form
    217,082.25/462,838.50 = 462,838.50/x
  3. Step 3: Cross multiply
    217,082.25x = 462,838.50 × 462,838.50
  4. Step 4: Simplify right side
    217,082.25x = 214,219,477,082.25
  5. Step 5: Solve for x
    x = 214,219,477,082.25/217,082.25
  6. Step 6: Final answer
    x = 986,812.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.