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Finding the Third Proportional to 615,435 and 903,183.50

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Solution

The third proportional to 615,435 and 903,183.50 is: 1,325,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,435 : 903,183.50 = 903,183.50 : x
  2. Step 2: Convert to fraction form
    615,435/903,183.50 = 903,183.50/x
  3. Step 3: Cross multiply
    615,435x = 903,183.50 × 903,183.50
  4. Step 4: Simplify right side
    615,435x = 815,740,434,672.25
  5. Step 5: Solve for x
    x = 815,740,434,672.25/615,435
  6. Step 6: Final answer
    x = 1,325,469.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.