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Finding the Third Proportional to 350,848 and 725,766

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Solution

The third proportional to 350,848 and 725,766 is: 1,501,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,848 : 725,766 = 725,766 : x
  2. Step 2: Convert to fraction form
    350,848/725,766 = 725,766/x
  3. Step 3: Cross multiply
    350,848x = 725,766 × 725,766
  4. Step 4: Simplify right side
    350,848x = 526,736,286,756
  5. Step 5: Solve for x
    x = 526,736,286,756/350,848
  6. Step 6: Final answer
    x = 1,501,323.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.