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Finding the Third Proportional to 274,033.13 and 430,475.63

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Solution

The third proportional to 274,033.13 and 430,475.63 is: 676,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,033.13 : 430,475.63 = 430,475.63 : x
  2. Step 2: Convert to fraction form
    274,033.13/430,475.63 = 430,475.63/x
  3. Step 3: Cross multiply
    274,033.13x = 430,475.63 × 430,475.63
  4. Step 4: Simplify right side
    274,033.13x = 185,309,263,719.14
  5. Step 5: Solve for x
    x = 185,309,263,719.14/274,033.13
  6. Step 6: Final answer
    x = 676,229.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.