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Finding the Third Proportional to 409,765.75 and 622,030.75

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Solution

The third proportional to 409,765.75 and 622,030.75 is: 944,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,765.75 : 622,030.75 = 622,030.75 : x
  2. Step 2: Convert to fraction form
    409,765.75/622,030.75 = 622,030.75/x
  3. Step 3: Cross multiply
    409,765.75x = 622,030.75 × 622,030.75
  4. Step 4: Simplify right side
    409,765.75x = 386,922,253,945.56
  5. Step 5: Solve for x
    x = 386,922,253,945.56/409,765.75
  6. Step 6: Final answer
    x = 944,252.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.