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Finding the Third Proportional to 361,941.12 and 786,910.36

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Solution

The third proportional to 361,941.12 and 786,910.36 is: 1,710,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,941.12 : 786,910.36 = 786,910.36 : x
  2. Step 2: Convert to fraction form
    361,941.12/786,910.36 = 786,910.36/x
  3. Step 3: Cross multiply
    361,941.12x = 786,910.36 × 786,910.36
  4. Step 4: Simplify right side
    361,941.12x = 619,227,913,691.69
  5. Step 5: Solve for x
    x = 619,227,913,691.69/361,941.12
  6. Step 6: Final answer
    x = 1,710,852.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.