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Finding the Third Proportional to 217,942.63 and 470,290.13

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Solution

The third proportional to 217,942.63 and 470,290.13 is: 1,014,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,942.63 : 470,290.13 = 470,290.13 : x
  2. Step 2: Convert to fraction form
    217,942.63/470,290.13 = 470,290.13/x
  3. Step 3: Cross multiply
    217,942.63x = 470,290.13 × 470,290.13
  4. Step 4: Simplify right side
    217,942.63x = 221,172,801,672.52
  5. Step 5: Solve for x
    x = 221,172,801,672.52/217,942.63
  6. Step 6: Final answer
    x = 1,014,821.22

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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.