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Finding the Third Proportional to 340,956 and 534,863.25

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Solution

The third proportional to 340,956 and 534,863.25 is: 839,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,956 : 534,863.25 = 534,863.25 : x
  2. Step 2: Convert to fraction form
    340,956/534,863.25 = 534,863.25/x
  3. Step 3: Cross multiply
    340,956x = 534,863.25 × 534,863.25
  4. Step 4: Simplify right side
    340,956x = 286,078,696,200.56
  5. Step 5: Solve for x
    x = 286,078,696,200.56/340,956
  6. Step 6: Final answer
    x = 839,048.72

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