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Finding the Third Proportional to 357,939 and 784,768.50

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Solution

The third proportional to 357,939 and 784,768.50 is: 1,720,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,939 : 784,768.50 = 784,768.50 : x
  2. Step 2: Convert to fraction form
    357,939/784,768.50 = 784,768.50/x
  3. Step 3: Cross multiply
    357,939x = 784,768.50 × 784,768.50
  4. Step 4: Simplify right side
    357,939x = 615,861,598,592.25
  5. Step 5: Solve for x
    x = 615,861,598,592.25/357,939
  6. Step 6: Final answer
    x = 1,720,576.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.