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Finding the Third Proportional to 340,966 and 534,873

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Solution

The third proportional to 340,966 and 534,873 is: 839,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,966 : 534,873 = 534,873 : x
  2. Step 2: Convert to fraction form
    340,966/534,873 = 534,873/x
  3. Step 3: Cross multiply
    340,966x = 534,873 × 534,873
  4. Step 4: Simplify right side
    340,966x = 286,089,126,129
  5. Step 5: Solve for x
    x = 286,089,126,129/340,966
  6. Step 6: Final answer
    x = 839,054.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.