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Finding the Third Proportional to 305,194.50 and 662,931

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Solution

The third proportional to 305,194.50 and 662,931 is: 1,439,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,194.50 : 662,931 = 662,931 : x
  2. Step 2: Convert to fraction form
    305,194.50/662,931 = 662,931/x
  3. Step 3: Cross multiply
    305,194.50x = 662,931 × 662,931
  4. Step 4: Simplify right side
    305,194.50x = 439,477,510,761
  5. Step 5: Solve for x
    x = 439,477,510,761/305,194.50
  6. Step 6: Final answer
    x = 1,439,991.58

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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.