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Finding the Third Proportional to 353,079 and 784,617.50

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Solution

The third proportional to 353,079 and 784,617.50 is: 1,743,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,079 : 784,617.50 = 784,617.50 : x
  2. Step 2: Convert to fraction form
    353,079/784,617.50 = 784,617.50/x
  3. Step 3: Cross multiply
    353,079x = 784,617.50 × 784,617.50
  4. Step 4: Simplify right side
    353,079x = 615,624,621,306.25
  5. Step 5: Solve for x
    x = 615,624,621,306.25/353,079
  6. Step 6: Final answer
    x = 1,743,588.89

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.