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Finding the Third Proportional to 413,454.75 and 622,602

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Solution

The third proportional to 413,454.75 and 622,602 is: 937,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,454.75 : 622,602 = 622,602 : x
  2. Step 2: Convert to fraction form
    413,454.75/622,602 = 622,602/x
  3. Step 3: Cross multiply
    413,454.75x = 622,602 × 622,602
  4. Step 4: Simplify right side
    413,454.75x = 387,633,250,404
  5. Step 5: Solve for x
    x = 387,633,250,404/413,454.75
  6. Step 6: Final answer
    x = 937,546.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.