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Finding the Third Proportional to 640,244.25 and 964,592.30

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Solution

The third proportional to 640,244.25 and 964,592.30 is: 1,453,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,244.25 : 964,592.30 = 964,592.30 : x
  2. Step 2: Convert to fraction form
    640,244.25/964,592.30 = 964,592.30/x
  3. Step 3: Cross multiply
    640,244.25x = 964,592.30 × 964,592.30
  4. Step 4: Simplify right side
    640,244.25x = 930,438,299,190.59
  5. Step 5: Solve for x
    x = 930,438,299,190.59/640,244.25
  6. Step 6: Final answer
    x = 1,453,255.22

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