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Finding the Third Proportional to 505,550 and 1,073,443

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Solution

The third proportional to 505,550 and 1,073,443 is: 2,279,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,550 : 1,073,443 = 1,073,443 : x
  2. Step 2: Convert to fraction form
    505,550/1,073,443 = 1,073,443/x
  3. Step 3: Cross multiply
    505,550x = 1,073,443 × 1,073,443
  4. Step 4: Simplify right side
    505,550x = 1,152,279,874,249
  5. Step 5: Solve for x
    x = 1,152,279,874,249/505,550
  6. Step 6: Final answer
    x = 2,279,259.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.