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Finding the Third Proportional to 263,093 and 570,538

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Solution

The third proportional to 263,093 and 570,538 is: 1,237,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,093 : 570,538 = 570,538 : x
  2. Step 2: Convert to fraction form
    263,093/570,538 = 570,538/x
  3. Step 3: Cross multiply
    263,093x = 570,538 × 570,538
  4. Step 4: Simplify right side
    263,093x = 325,513,609,444
  5. Step 5: Solve for x
    x = 325,513,609,444/263,093
  6. Step 6: Final answer
    x = 1,237,256.82

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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.