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Finding the Third Proportional to 588,791 and 906,272

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Solution

The third proportional to 588,791 and 906,272 is: 1,394,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,791 : 906,272 = 906,272 : x
  2. Step 2: Convert to fraction form
    588,791/906,272 = 906,272/x
  3. Step 3: Cross multiply
    588,791x = 906,272 × 906,272
  4. Step 4: Simplify right side
    588,791x = 821,328,937,984
  5. Step 5: Solve for x
    x = 821,328,937,984/588,791
  6. Step 6: Final answer
    x = 1,394,941.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.