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Finding the Third Proportional to 337,550 and 505,958

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Solution

The third proportional to 337,550 and 505,958 is: 758,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,550 : 505,958 = 505,958 : x
  2. Step 2: Convert to fraction form
    337,550/505,958 = 505,958/x
  3. Step 3: Cross multiply
    337,550x = 505,958 × 505,958
  4. Step 4: Simplify right side
    337,550x = 255,993,497,764
  5. Step 5: Solve for x
    x = 255,993,497,764/337,550
  6. Step 6: Final answer
    x = 758,386.90

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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.