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Finding the Third Proportional to 128,733 and 283,641

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Solution

The third proportional to 128,733 and 283,641 is: 624,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,733 : 283,641 = 283,641 : x
  2. Step 2: Convert to fraction form
    128,733/283,641 = 283,641/x
  3. Step 3: Cross multiply
    128,733x = 283,641 × 283,641
  4. Step 4: Simplify right side
    128,733x = 80,452,216,881
  5. Step 5: Solve for x
    x = 80,452,216,881/128,733
  6. Step 6: Final answer
    x = 624,954.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.