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Finding the Third Proportional to 265,464 and 573,189

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Solution

The third proportional to 265,464 and 573,189 is: 1,237,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,464 : 573,189 = 573,189 : x
  2. Step 2: Convert to fraction form
    265,464/573,189 = 573,189/x
  3. Step 3: Cross multiply
    265,464x = 573,189 × 573,189
  4. Step 4: Simplify right side
    265,464x = 328,545,629,721
  5. Step 5: Solve for x
    x = 328,545,629,721/265,464
  6. Step 6: Final answer
    x = 1,237,627.81

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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.