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Finding the Third Proportional to 331,512 and 508,716

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Solution

The third proportional to 331,512 and 508,716 is: 780,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,512 : 508,716 = 508,716 : x
  2. Step 2: Convert to fraction form
    331,512/508,716 = 508,716/x
  3. Step 3: Cross multiply
    331,512x = 508,716 × 508,716
  4. Step 4: Simplify right side
    331,512x = 258,791,968,656
  5. Step 5: Solve for x
    x = 258,791,968,656/331,512
  6. Step 6: Final answer
    x = 780,641.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.