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Finding the Third Proportional to 322,356.94 and 497,067.75

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Solution

The third proportional to 322,356.94 and 497,067.75 is: 766,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,356.94 : 497,067.75 = 497,067.75 : x
  2. Step 2: Convert to fraction form
    322,356.94/497,067.75 = 497,067.75/x
  3. Step 3: Cross multiply
    322,356.94x = 497,067.75 × 497,067.75
  4. Step 4: Simplify right side
    322,356.94x = 247,076,348,090.06
  5. Step 5: Solve for x
    x = 247,076,348,090.06/322,356.94
  6. Step 6: Final answer
    x = 766,468.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.