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Finding the Third Proportional to 728,393.50 and 1,142,636.25

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Solution

The third proportional to 728,393.50 and 1,142,636.25 is: 1,792,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,393.50 : 1,142,636.25 = 1,142,636.25 : x
  2. Step 2: Convert to fraction form
    728,393.50/1,142,636.25 = 1,142,636.25/x
  3. Step 3: Cross multiply
    728,393.50x = 1,142,636.25 × 1,142,636.25
  4. Step 4: Simplify right side
    728,393.50x = 1,305,617,599,814.06
  5. Step 5: Solve for x
    x = 1,305,617,599,814.06/728,393.50
  6. Step 6: Final answer
    x = 1,792,461.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.