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Finding the Third Proportional to 331,341 and 510,042

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Solution

The third proportional to 331,341 and 510,042 is: 785,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,341 : 510,042 = 510,042 : x
  2. Step 2: Convert to fraction form
    331,341/510,042 = 510,042/x
  3. Step 3: Cross multiply
    331,341x = 510,042 × 510,042
  4. Step 4: Simplify right side
    331,341x = 260,142,841,764
  5. Step 5: Solve for x
    x = 260,142,841,764/331,341
  6. Step 6: Final answer
    x = 785,121.19

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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.