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Finding the Third Proportional to 230,972.63 and 493,865.44

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Solution

The third proportional to 230,972.63 and 493,865.44 is: 1,055,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,972.63 : 493,865.44 = 493,865.44 : x
  2. Step 2: Convert to fraction form
    230,972.63/493,865.44 = 493,865.44/x
  3. Step 3: Cross multiply
    230,972.63x = 493,865.44 × 493,865.44
  4. Step 4: Simplify right side
    230,972.63x = 243,903,070,357.07
  5. Step 5: Solve for x
    x = 243,903,070,357.07/230,972.63
  6. Step 6: Final answer
    x = 1,055,982.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.