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Finding the Third Proportional to 360,796.50 and 783,076.50

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Solution

The third proportional to 360,796.50 and 783,076.50 is: 1,699,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,796.50 : 783,076.50 = 783,076.50 : x
  2. Step 2: Convert to fraction form
    360,796.50/783,076.50 = 783,076.50/x
  3. Step 3: Cross multiply
    360,796.50x = 783,076.50 × 783,076.50
  4. Step 4: Simplify right side
    360,796.50x = 613,208,804,852.25
  5. Step 5: Solve for x
    x = 613,208,804,852.25/360,796.50
  6. Step 6: Final answer
    x = 1,699,597.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.