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Finding the Third Proportional to 265,593 and 575,439

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Solution

The third proportional to 265,593 and 575,439 is: 1,246,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,593 : 575,439 = 575,439 : x
  2. Step 2: Convert to fraction form
    265,593/575,439 = 575,439/x
  3. Step 3: Cross multiply
    265,593x = 575,439 × 575,439
  4. Step 4: Simplify right side
    265,593x = 331,130,042,721
  5. Step 5: Solve for x
    x = 331,130,042,721/265,593
  6. Step 6: Final answer
    x = 1,246,757.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.