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Finding the Third Proportional to 343,453.50 and 505,248.75

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Solution

The third proportional to 343,453.50 and 505,248.75 is: 743,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,453.50 : 505,248.75 = 505,248.75 : x
  2. Step 2: Convert to fraction form
    343,453.50/505,248.75 = 505,248.75/x
  3. Step 3: Cross multiply
    343,453.50x = 505,248.75 × 505,248.75
  4. Step 4: Simplify right side
    343,453.50x = 255,276,299,376.56
  5. Step 5: Solve for x
    x = 255,276,299,376.56/343,453.50
  6. Step 6: Final answer
    x = 743,263.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.