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Finding the Third Proportional to 217,804 and 469,952

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Solution

The third proportional to 217,804 and 469,952 is: 1,014,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,804 : 469,952 = 469,952 : x
  2. Step 2: Convert to fraction form
    217,804/469,952 = 469,952/x
  3. Step 3: Cross multiply
    217,804x = 469,952 × 469,952
  4. Step 4: Simplify right side
    217,804x = 220,854,882,304
  5. Step 5: Solve for x
    x = 220,854,882,304/217,804
  6. Step 6: Final answer
    x = 1,014,007.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.