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Finding the Third Proportional to 229,052.81 and 493,224.19

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Solution

The third proportional to 229,052.81 and 493,224.19 is: 1,062,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052.81 : 493,224.19 = 493,224.19 : x
  2. Step 2: Convert to fraction form
    229,052.81/493,224.19 = 493,224.19/x
  3. Step 3: Cross multiply
    229,052.81x = 493,224.19 × 493,224.19
  4. Step 4: Simplify right side
    229,052.81x = 243,270,099,135.04
  5. Step 5: Solve for x
    x = 243,270,099,135.04/229,052.81
  6. Step 6: Final answer
    x = 1,062,069.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.