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Finding the Third Proportional to 265,488 and 573,198

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Solution

The third proportional to 265,488 and 573,198 is: 1,237,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,488 : 573,198 = 573,198 : x
  2. Step 2: Convert to fraction form
    265,488/573,198 = 573,198/x
  3. Step 3: Cross multiply
    265,488x = 573,198 × 573,198
  4. Step 4: Simplify right side
    265,488x = 328,555,947,204
  5. Step 5: Solve for x
    x = 328,555,947,204/265,488
  6. Step 6: Final answer
    x = 1,237,554.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.