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Finding the Third Proportional to 299,190.38 and 640,409.63

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Solution

The third proportional to 299,190.38 and 640,409.63 is: 1,370,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190.38 : 640,409.63 = 640,409.63 : x
  2. Step 2: Convert to fraction form
    299,190.38/640,409.63 = 640,409.63/x
  3. Step 3: Cross multiply
    299,190.38x = 640,409.63 × 640,409.63
  4. Step 4: Simplify right side
    299,190.38x = 410,124,487,792.64
  5. Step 5: Solve for x
    x = 410,124,487,792.64/299,190.38
  6. Step 6: Final answer
    x = 1,370,781.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.