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Finding the Third Proportional to 337,356 and 505,008

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Solution

The third proportional to 337,356 and 505,008 is: 755,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,356 : 505,008 = 505,008 : x
  2. Step 2: Convert to fraction form
    337,356/505,008 = 505,008/x
  3. Step 3: Cross multiply
    337,356x = 505,008 × 505,008
  4. Step 4: Simplify right side
    337,356x = 255,033,080,064
  5. Step 5: Solve for x
    x = 255,033,080,064/337,356
  6. Step 6: Final answer
    x = 755,976.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.