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Finding the Third Proportional to 340,836.19 and 529,252.31

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Solution

The third proportional to 340,836.19 and 529,252.31 is: 821,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,836.19 : 529,252.31 = 529,252.31 : x
  2. Step 2: Convert to fraction form
    340,836.19/529,252.31 = 529,252.31/x
  3. Step 3: Cross multiply
    340,836.19x = 529,252.31 × 529,252.31
  4. Step 4: Simplify right side
    340,836.19x = 280,108,010,286.60
  5. Step 5: Solve for x
    x = 280,108,010,286.60/340,836.19
  6. Step 6: Final answer
    x = 821,825.91

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