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Finding the Third Proportional to 639,743.06 and 962,211.66

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Solution

The third proportional to 639,743.06 and 962,211.66 is: 1,447,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,743.06 : 962,211.66 = 962,211.66 : x
  2. Step 2: Convert to fraction form
    639,743.06/962,211.66 = 962,211.66/x
  3. Step 3: Cross multiply
    639,743.06x = 962,211.66 × 962,211.66
  4. Step 4: Simplify right side
    639,743.06x = 925,851,271,423.37
  5. Step 5: Solve for x
    x = 925,851,271,423.37/639,743.06
  6. Step 6: Final answer
    x = 1,447,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.