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Finding the Third Proportional to 462,991.25 and 695,719.50

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Solution

The third proportional to 462,991.25 and 695,719.50 is: 1,045,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,991.25 : 695,719.50 = 695,719.50 : x
  2. Step 2: Convert to fraction form
    462,991.25/695,719.50 = 695,719.50/x
  3. Step 3: Cross multiply
    462,991.25x = 695,719.50 × 695,719.50
  4. Step 4: Simplify right side
    462,991.25x = 484,025,622,680.25
  5. Step 5: Solve for x
    x = 484,025,622,680.25/462,991.25
  6. Step 6: Final answer
    x = 1,045,431.47

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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.