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Finding the Third Proportional to 340,962 and 534,867

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Solution

The third proportional to 340,962 and 534,867 is: 839,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,962 : 534,867 = 534,867 : x
  2. Step 2: Convert to fraction form
    340,962/534,867 = 534,867/x
  3. Step 3: Cross multiply
    340,962x = 534,867 × 534,867
  4. Step 4: Simplify right side
    340,962x = 286,082,707,689
  5. Step 5: Solve for x
    x = 286,082,707,689/340,962
  6. Step 6: Final answer
    x = 839,045.72

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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.