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Finding the Third Proportional to 217,863 and 469,097

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Solution

The third proportional to 217,863 and 469,097 is: 1,010,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,863 : 469,097 = 469,097 : x
  2. Step 2: Convert to fraction form
    217,863/469,097 = 469,097/x
  3. Step 3: Cross multiply
    217,863x = 469,097 × 469,097
  4. Step 4: Simplify right side
    217,863x = 220,051,995,409
  5. Step 5: Solve for x
    x = 220,051,995,409/217,863
  6. Step 6: Final answer
    x = 1,010,047.58

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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.