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Finding the Third Proportional to 348,768 and 729,076.50

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Solution

The third proportional to 348,768 and 729,076.50 is: 1,524,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,768 : 729,076.50 = 729,076.50 : x
  2. Step 2: Convert to fraction form
    348,768/729,076.50 = 729,076.50/x
  3. Step 3: Cross multiply
    348,768x = 729,076.50 × 729,076.50
  4. Step 4: Simplify right side
    348,768x = 531,552,542,852.25
  5. Step 5: Solve for x
    x = 531,552,542,852.25/348,768
  6. Step 6: Final answer
    x = 1,524,086.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.