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Finding the Third Proportional to 342,296.50 and 763,297.75

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Solution

The third proportional to 342,296.50 and 763,297.75 is: 1,702,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,296.50 : 763,297.75 = 763,297.75 : x
  2. Step 2: Convert to fraction form
    342,296.50/763,297.75 = 763,297.75/x
  3. Step 3: Cross multiply
    342,296.50x = 763,297.75 × 763,297.75
  4. Step 4: Simplify right side
    342,296.50x = 582,623,455,155.06
  5. Step 5: Solve for x
    x = 582,623,455,155.06/342,296.50
  6. Step 6: Final answer
    x = 1,702,101.70

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.