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Finding the Third Proportional to 337,275 and 718,247.25

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Solution

The third proportional to 337,275 and 718,247.25 is: 1,529,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,275 : 718,247.25 = 718,247.25 : x
  2. Step 2: Convert to fraction form
    337,275/718,247.25 = 718,247.25/x
  3. Step 3: Cross multiply
    337,275x = 718,247.25 × 718,247.25
  4. Step 4: Simplify right side
    337,275x = 515,879,112,132.56
  5. Step 5: Solve for x
    x = 515,879,112,132.56/337,275
  6. Step 6: Final answer
    x = 1,529,550.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.