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Finding the Third Proportional to 355,662 and 632,378.25

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Solution

The third proportional to 355,662 and 632,378.25 is: 1,124,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,662 : 632,378.25 = 632,378.25 : x
  2. Step 2: Convert to fraction form
    355,662/632,378.25 = 632,378.25/x
  3. Step 3: Cross multiply
    355,662x = 632,378.25 × 632,378.25
  4. Step 4: Simplify right side
    355,662x = 399,902,251,073.06
  5. Step 5: Solve for x
    x = 399,902,251,073.06/355,662
  6. Step 6: Final answer
    x = 1,124,388.47

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.