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Finding the Third Proportional to 203,462 and 456,961

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Solution

The third proportional to 203,462 and 456,961 is: 1,026,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462 : 456,961 = 456,961 : x
  2. Step 2: Convert to fraction form
    203,462/456,961 = 456,961/x
  3. Step 3: Cross multiply
    203,462x = 456,961 × 456,961
  4. Step 4: Simplify right side
    203,462x = 208,813,355,521
  5. Step 5: Solve for x
    x = 208,813,355,521/203,462
  6. Step 6: Final answer
    x = 1,026,301.50

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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.