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Finding the Third Proportional to 229,345.25 and 496,963

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Solution

The third proportional to 229,345.25 and 496,963 is: 1,076,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,345.25 : 496,963 = 496,963 : x
  2. Step 2: Convert to fraction form
    229,345.25/496,963 = 496,963/x
  3. Step 3: Cross multiply
    229,345.25x = 496,963 × 496,963
  4. Step 4: Simplify right side
    229,345.25x = 246,972,223,369
  5. Step 5: Solve for x
    x = 246,972,223,369/229,345.25
  6. Step 6: Final answer
    x = 1,076,857.81

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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.