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Finding the Third Proportional to 340,593 and 515,607

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Solution

The third proportional to 340,593 and 515,607 is: 780,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,593 : 515,607 = 515,607 : x
  2. Step 2: Convert to fraction form
    340,593/515,607 = 515,607/x
  3. Step 3: Cross multiply
    340,593x = 515,607 × 515,607
  4. Step 4: Simplify right side
    340,593x = 265,850,578,449
  5. Step 5: Solve for x
    x = 265,850,578,449/340,593
  6. Step 6: Final answer
    x = 780,552.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.