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Finding the Third Proportional to 210,230.44 and 493,548.19

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Solution

The third proportional to 210,230.44 and 493,548.19 is: 1,158,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,230.44 : 493,548.19 = 493,548.19 : x
  2. Step 2: Convert to fraction form
    210,230.44/493,548.19 = 493,548.19/x
  3. Step 3: Cross multiply
    210,230.44x = 493,548.19 × 493,548.19
  4. Step 4: Simplify right side
    210,230.44x = 243,589,813,384.54
  5. Step 5: Solve for x
    x = 243,589,813,384.54/210,230.44
  6. Step 6: Final answer
    x = 1,158,680.05

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.