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Finding the Third Proportional to 229,393 and 493,939.75

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Solution

The third proportional to 229,393 and 493,939.75 is: 1,063,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,393 : 493,939.75 = 493,939.75 : x
  2. Step 2: Convert to fraction form
    229,393/493,939.75 = 493,939.75/x
  3. Step 3: Cross multiply
    229,393x = 493,939.75 × 493,939.75
  4. Step 4: Simplify right side
    229,393x = 243,976,476,630.06
  5. Step 5: Solve for x
    x = 243,976,476,630.06/229,393
  6. Step 6: Final answer
    x = 1,063,574.20

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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.