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Finding the Third Proportional to 215,960.55 and 465,033.66

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Solution

The third proportional to 215,960.55 and 465,033.66 is: 1,001,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,960.55 : 465,033.66 = 465,033.66 : x
  2. Step 2: Convert to fraction form
    215,960.55/465,033.66 = 465,033.66/x
  3. Step 3: Cross multiply
    215,960.55x = 465,033.66 × 465,033.66
  4. Step 4: Simplify right side
    215,960.55x = 216,256,301,445.24
  5. Step 5: Solve for x
    x = 216,256,301,445.24/215,960.55
  6. Step 6: Final answer
    x = 1,001,369.45

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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.