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Finding the Third Proportional to 767,900.25 and 1,033,749

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Solution

The third proportional to 767,900.25 and 1,033,749 is: 1,391,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,900.25 : 1,033,749 = 1,033,749 : x
  2. Step 2: Convert to fraction form
    767,900.25/1,033,749 = 1,033,749/x
  3. Step 3: Cross multiply
    767,900.25x = 1,033,749 × 1,033,749
  4. Step 4: Simplify right side
    767,900.25x = 1,068,636,995,001
  5. Step 5: Solve for x
    x = 1,068,636,995,001/767,900.25
  6. Step 6: Final answer
    x = 1,391,635.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.