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Finding the Third Proportional to 613,939.50 and 1,258,308

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Solution

The third proportional to 613,939.50 and 1,258,308 is: 2,578,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,939.50 : 1,258,308 = 1,258,308 : x
  2. Step 2: Convert to fraction form
    613,939.50/1,258,308 = 1,258,308/x
  3. Step 3: Cross multiply
    613,939.50x = 1,258,308 × 1,258,308
  4. Step 4: Simplify right side
    613,939.50x = 1,583,339,022,864
  5. Step 5: Solve for x
    x = 1,583,339,022,864/613,939.50
  6. Step 6: Final answer
    x = 2,578,982.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.