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Finding the Third Proportional to 340,696.13 and 529,019.44

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Solution

The third proportional to 340,696.13 and 529,019.44 is: 821,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,696.13 : 529,019.44 = 529,019.44 : x
  2. Step 2: Convert to fraction form
    340,696.13/529,019.44 = 529,019.44/x
  3. Step 3: Cross multiply
    340,696.13x = 529,019.44 × 529,019.44
  4. Step 4: Simplify right side
    340,696.13x = 279,861,565,252.82
  5. Step 5: Solve for x
    x = 279,861,565,252.82/340,696.13
  6. Step 6: Final answer
    x = 821,440.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.