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Finding the Third Proportional to 621,241 and 850,118

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Solution

The third proportional to 621,241 and 850,118 is: 1,163,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,241 : 850,118 = 850,118 : x
  2. Step 2: Convert to fraction form
    621,241/850,118 = 850,118/x
  3. Step 3: Cross multiply
    621,241x = 850,118 × 850,118
  4. Step 4: Simplify right side
    621,241x = 722,700,613,924
  5. Step 5: Solve for x
    x = 722,700,613,924/621,241
  6. Step 6: Final answer
    x = 1,163,317.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.