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Finding the Third Proportional to 280,091 and 430,517.50

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Solution

The third proportional to 280,091 and 430,517.50 is: 661,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,091 : 430,517.50 = 430,517.50 : x
  2. Step 2: Convert to fraction form
    280,091/430,517.50 = 430,517.50/x
  3. Step 3: Cross multiply
    280,091x = 430,517.50 × 430,517.50
  4. Step 4: Simplify right side
    280,091x = 185,345,317,806.25
  5. Step 5: Solve for x
    x = 185,345,317,806.25/280,091
  6. Step 6: Final answer
    x = 661,732.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.