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Finding the Third Proportional to 337,305 and 512,863.50

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Solution

The third proportional to 337,305 and 512,863.50 is: 779,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,305 : 512,863.50 = 512,863.50 : x
  2. Step 2: Convert to fraction form
    337,305/512,863.50 = 512,863.50/x
  3. Step 3: Cross multiply
    337,305x = 512,863.50 × 512,863.50
  4. Step 4: Simplify right side
    337,305x = 263,028,969,632.25
  5. Step 5: Solve for x
    x = 263,028,969,632.25/337,305
  6. Step 6: Final answer
    x = 779,795.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.