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Finding the Third Proportional to 360,321.75 and 784,066.50

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Solution

The third proportional to 360,321.75 and 784,066.50 is: 1,706,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,321.75 : 784,066.50 = 784,066.50 : x
  2. Step 2: Convert to fraction form
    360,321.75/784,066.50 = 784,066.50/x
  3. Step 3: Cross multiply
    360,321.75x = 784,066.50 × 784,066.50
  4. Step 4: Simplify right side
    360,321.75x = 614,760,276,422.25
  5. Step 5: Solve for x
    x = 614,760,276,422.25/360,321.75
  6. Step 6: Final answer
    x = 1,706,142.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.