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Finding the Third Proportional to 403,848 and 622,618.50

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Solution

The third proportional to 403,848 and 622,618.50 is: 959,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,848 : 622,618.50 = 622,618.50 : x
  2. Step 2: Convert to fraction form
    403,848/622,618.50 = 622,618.50/x
  3. Step 3: Cross multiply
    403,848x = 622,618.50 × 622,618.50
  4. Step 4: Simplify right side
    403,848x = 387,653,796,542.25
  5. Step 5: Solve for x
    x = 387,653,796,542.25/403,848
  6. Step 6: Final answer
    x = 959,900.25

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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.