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Finding the Third Proportional to 340,967 and 534,881

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Solution

The third proportional to 340,967 and 534,881 is: 839,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,967 : 534,881 = 534,881 : x
  2. Step 2: Convert to fraction form
    340,967/534,881 = 534,881/x
  3. Step 3: Cross multiply
    340,967x = 534,881 × 534,881
  4. Step 4: Simplify right side
    340,967x = 286,097,684,161
  5. Step 5: Solve for x
    x = 286,097,684,161/340,967
  6. Step 6: Final answer
    x = 839,077.34

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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.