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Finding the Third Proportional to 611,716.50 and 933,684.75

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Solution

The third proportional to 611,716.50 and 933,684.75 is: 1,425,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,716.50 : 933,684.75 = 933,684.75 : x
  2. Step 2: Convert to fraction form
    611,716.50/933,684.75 = 933,684.75/x
  3. Step 3: Cross multiply
    611,716.50x = 933,684.75 × 933,684.75
  4. Step 4: Simplify right side
    611,716.50x = 871,767,212,382.56
  5. Step 5: Solve for x
    x = 871,767,212,382.56/611,716.50
  6. Step 6: Final answer
    x = 1,425,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.