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Finding the Third Proportional to 361,770.75 and 795,712.50

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Solution

The third proportional to 361,770.75 and 795,712.50 is: 1,750,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,770.75 : 795,712.50 = 795,712.50 : x
  2. Step 2: Convert to fraction form
    361,770.75/795,712.50 = 795,712.50/x
  3. Step 3: Cross multiply
    361,770.75x = 795,712.50 × 795,712.50
  4. Step 4: Simplify right side
    361,770.75x = 633,158,382,656.25
  5. Step 5: Solve for x
    x = 633,158,382,656.25/361,770.75
  6. Step 6: Final answer
    x = 1,750,164.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.