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Finding the Third Proportional to 262,001.25 and 565,839

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Solution

The third proportional to 262,001.25 and 565,839 is: 1,222,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,001.25 : 565,839 = 565,839 : x
  2. Step 2: Convert to fraction form
    262,001.25/565,839 = 565,839/x
  3. Step 3: Cross multiply
    262,001.25x = 565,839 × 565,839
  4. Step 4: Simplify right side
    262,001.25x = 320,173,773,921
  5. Step 5: Solve for x
    x = 320,173,773,921/262,001.25
  6. Step 6: Final answer
    x = 1,222,031.47

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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.