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Finding the Third Proportional to 471,966.75 and 748,511.75

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Solution

The third proportional to 471,966.75 and 748,511.75 is: 1,187,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,966.75 : 748,511.75 = 748,511.75 : x
  2. Step 2: Convert to fraction form
    471,966.75/748,511.75 = 748,511.75/x
  3. Step 3: Cross multiply
    471,966.75x = 748,511.75 × 748,511.75
  4. Step 4: Simplify right side
    471,966.75x = 560,269,839,888.06
  5. Step 5: Solve for x
    x = 560,269,839,888.06/471,966.75
  6. Step 6: Final answer
    x = 1,187,096.00

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.