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Finding the Third Proportional to 337,654 and 515,057

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Solution

The third proportional to 337,654 and 515,057 is: 785,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,654 : 515,057 = 515,057 : x
  2. Step 2: Convert to fraction form
    337,654/515,057 = 515,057/x
  3. Step 3: Cross multiply
    337,654x = 515,057 × 515,057
  4. Step 4: Simplify right side
    337,654x = 265,283,713,249
  5. Step 5: Solve for x
    x = 265,283,713,249/337,654
  6. Step 6: Final answer
    x = 785,667.32

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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.