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Finding the Third Proportional to 572,589 and 906,525

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Solution

The third proportional to 572,589 and 906,525 is: 1,435,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,589 : 906,525 = 906,525 : x
  2. Step 2: Convert to fraction form
    572,589/906,525 = 906,525/x
  3. Step 3: Cross multiply
    572,589x = 906,525 × 906,525
  4. Step 4: Simplify right side
    572,589x = 821,787,575,625
  5. Step 5: Solve for x
    x = 821,787,575,625/572,589
  6. Step 6: Final answer
    x = 1,435,213.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.