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Finding the Third Proportional to 575,003.25 and 1,260,724.50

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Solution

The third proportional to 575,003.25 and 1,260,724.50 is: 2,764,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,003.25 : 1,260,724.50 = 1,260,724.50 : x
  2. Step 2: Convert to fraction form
    575,003.25/1,260,724.50 = 1,260,724.50/x
  3. Step 3: Cross multiply
    575,003.25x = 1,260,724.50 × 1,260,724.50
  4. Step 4: Simplify right side
    575,003.25x = 1,589,426,264,900.25
  5. Step 5: Solve for x
    x = 1,589,426,264,900.25/575,003.25
  6. Step 6: Final answer
    x = 2,764,203.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.