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Finding the Third Proportional to 227,514.66 and 493,703.44

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Solution

The third proportional to 227,514.66 and 493,703.44 is: 1,071,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,514.66 : 493,703.44 = 493,703.44 : x
  2. Step 2: Convert to fraction form
    227,514.66/493,703.44 = 493,703.44/x
  3. Step 3: Cross multiply
    227,514.66x = 493,703.44 × 493,703.44
  4. Step 4: Simplify right side
    227,514.66x = 243,743,084,199.32
  5. Step 5: Solve for x
    x = 243,743,084,199.32/227,514.66
  6. Step 6: Final answer
    x = 1,071,329.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.