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Finding the Third Proportional to 331,414 and 510,060

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Solution

The third proportional to 331,414 and 510,060 is: 785,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,414 : 510,060 = 510,060 : x
  2. Step 2: Convert to fraction form
    331,414/510,060 = 510,060/x
  3. Step 3: Cross multiply
    331,414x = 510,060 × 510,060
  4. Step 4: Simplify right side
    331,414x = 260,161,203,600
  5. Step 5: Solve for x
    x = 260,161,203,600/331,414
  6. Step 6: Final answer
    x = 785,003.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.