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Finding the Third Proportional to 506,912.63 and 784,635.75

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Solution

The third proportional to 506,912.63 and 784,635.75 is: 1,214,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,912.63 : 784,635.75 = 784,635.75 : x
  2. Step 2: Convert to fraction form
    506,912.63/784,635.75 = 784,635.75/x
  3. Step 3: Cross multiply
    506,912.63x = 784,635.75 × 784,635.75
  4. Step 4: Simplify right side
    506,912.63x = 615,653,260,178.06
  5. Step 5: Solve for x
    x = 615,653,260,178.06/506,912.63
  6. Step 6: Final answer
    x = 1,214,515.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.