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Finding the Third Proportional to 217,766 and 468,904

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Solution

The third proportional to 217,766 and 468,904 is: 1,009,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,766 : 468,904 = 468,904 : x
  2. Step 2: Convert to fraction form
    217,766/468,904 = 468,904/x
  3. Step 3: Cross multiply
    217,766x = 468,904 × 468,904
  4. Step 4: Simplify right side
    217,766x = 219,870,961,216
  5. Step 5: Solve for x
    x = 219,870,961,216/217,766
  6. Step 6: Final answer
    x = 1,009,666.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.