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Finding the Third Proportional to 361,596.66 and 777,611.81

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Solution

The third proportional to 361,596.66 and 777,611.81 is: 1,672,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,596.66 : 777,611.81 = 777,611.81 : x
  2. Step 2: Convert to fraction form
    361,596.66/777,611.81 = 777,611.81/x
  3. Step 3: Cross multiply
    361,596.66x = 777,611.81 × 777,611.81
  4. Step 4: Simplify right side
    361,596.66x = 604,680,130,939.54
  5. Step 5: Solve for x
    x = 604,680,130,939.54/361,596.66
  6. Step 6: Final answer
    x = 1,672,250.34

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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.