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Finding the Third Proportional to 337,645 and 515,041

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Solution

The third proportional to 337,645 and 515,041 is: 785,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,645 : 515,041 = 515,041 : x
  2. Step 2: Convert to fraction form
    337,645/515,041 = 515,041/x
  3. Step 3: Cross multiply
    337,645x = 515,041 × 515,041
  4. Step 4: Simplify right side
    337,645x = 265,267,231,681
  5. Step 5: Solve for x
    x = 265,267,231,681/337,645
  6. Step 6: Final answer
    x = 785,639.45

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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.