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Finding the Third Proportional to 515,734.50 and 774,576

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Solution

The third proportional to 515,734.50 and 774,576 is: 1,163,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,734.50 : 774,576 = 774,576 : x
  2. Step 2: Convert to fraction form
    515,734.50/774,576 = 774,576/x
  3. Step 3: Cross multiply
    515,734.50x = 774,576 × 774,576
  4. Step 4: Simplify right side
    515,734.50x = 599,967,979,776
  5. Step 5: Solve for x
    x = 599,967,979,776/515,734.50
  6. Step 6: Final answer
    x = 1,163,327.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.