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Finding the Third Proportional to 216,290.35 and 465,859.83

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Solution

The third proportional to 216,290.35 and 465,859.83 is: 1,003,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,290.35 : 465,859.83 = 465,859.83 : x
  2. Step 2: Convert to fraction form
    216,290.35/465,859.83 = 465,859.83/x
  3. Step 3: Cross multiply
    216,290.35x = 465,859.83 × 465,859.83
  4. Step 4: Simplify right side
    216,290.35x = 217,025,383,555.13
  5. Step 5: Solve for x
    x = 217,025,383,555.13/216,290.35
  6. Step 6: Final answer
    x = 1,003,398.37

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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.