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Finding the Third Proportional to 217,562 and 474,976

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Solution

The third proportional to 217,562 and 474,976 is: 1,036,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,562 : 474,976 = 474,976 : x
  2. Step 2: Convert to fraction form
    217,562/474,976 = 474,976/x
  3. Step 3: Cross multiply
    217,562x = 474,976 × 474,976
  4. Step 4: Simplify right side
    217,562x = 225,602,200,576
  5. Step 5: Solve for x
    x = 225,602,200,576/217,562
  6. Step 6: Final answer
    x = 1,036,955.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.