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Finding the Third Proportional to 203,463 and 456,963

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Solution

The third proportional to 203,463 and 456,963 is: 1,026,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463 : 456,963 = 456,963 : x
  2. Step 2: Convert to fraction form
    203,463/456,963 = 456,963/x
  3. Step 3: Cross multiply
    203,463x = 456,963 × 456,963
  4. Step 4: Simplify right side
    203,463x = 208,815,183,369
  5. Step 5: Solve for x
    x = 208,815,183,369/203,463
  6. Step 6: Final answer
    x = 1,026,305.44

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.