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Finding the Third Proportional to 353,263.50 and 765,171

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Solution

The third proportional to 353,263.50 and 765,171 is: 1,657,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,263.50 : 765,171 = 765,171 : x
  2. Step 2: Convert to fraction form
    353,263.50/765,171 = 765,171/x
  3. Step 3: Cross multiply
    353,263.50x = 765,171 × 765,171
  4. Step 4: Simplify right side
    353,263.50x = 585,486,659,241
  5. Step 5: Solve for x
    x = 585,486,659,241/353,263.50
  6. Step 6: Final answer
    x = 1,657,365.28

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