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Finding the Third Proportional to 451,615.50 and 681,250.50

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Solution

The third proportional to 451,615.50 and 681,250.50 is: 1,027,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,615.50 : 681,250.50 = 681,250.50 : x
  2. Step 2: Convert to fraction form
    451,615.50/681,250.50 = 681,250.50/x
  3. Step 3: Cross multiply
    451,615.50x = 681,250.50 × 681,250.50
  4. Step 4: Simplify right side
    451,615.50x = 464,102,243,750.25
  5. Step 5: Solve for x
    x = 464,102,243,750.25/451,615.50
  6. Step 6: Final answer
    x = 1,027,649.06

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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.