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Finding the Third Proportional to 348,067.50 and 553,846.50

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Solution

The third proportional to 348,067.50 and 553,846.50 is: 881,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,067.50 : 553,846.50 = 553,846.50 : x
  2. Step 2: Convert to fraction form
    348,067.50/553,846.50 = 553,846.50/x
  3. Step 3: Cross multiply
    348,067.50x = 553,846.50 × 553,846.50
  4. Step 4: Simplify right side
    348,067.50x = 306,745,945,562.25
  5. Step 5: Solve for x
    x = 306,745,945,562.25/348,067.50
  6. Step 6: Final answer
    x = 881,282.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.