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Finding the Third Proportional to 293,403.94 and 387,514.13

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Solution

The third proportional to 293,403.94 and 387,514.13 is: 511,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,403.94 : 387,514.13 = 387,514.13 : x
  2. Step 2: Convert to fraction form
    293,403.94/387,514.13 = 387,514.13/x
  3. Step 3: Cross multiply
    293,403.94x = 387,514.13 × 387,514.13
  4. Step 4: Simplify right side
    293,403.94x = 150,167,197,074.52
  5. Step 5: Solve for x
    x = 150,167,197,074.52/293,403.94
  6. Step 6: Final answer
    x = 511,810.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.