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Finding the Third Proportional to 335,814 and 506,956

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Solution

The third proportional to 335,814 and 506,956 is: 765,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,814 : 506,956 = 506,956 : x
  2. Step 2: Convert to fraction form
    335,814/506,956 = 506,956/x
  3. Step 3: Cross multiply
    335,814x = 506,956 × 506,956
  4. Step 4: Simplify right side
    335,814x = 257,004,385,936
  5. Step 5: Solve for x
    x = 257,004,385,936/335,814
  6. Step 6: Final answer
    x = 765,317.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.