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Finding the Third Proportional to 333,362 and 735,268

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Solution

The third proportional to 333,362 and 735,268 is: 1,621,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,362 : 735,268 = 735,268 : x
  2. Step 2: Convert to fraction form
    333,362/735,268 = 735,268/x
  3. Step 3: Cross multiply
    333,362x = 735,268 × 735,268
  4. Step 4: Simplify right side
    333,362x = 540,619,031,824
  5. Step 5: Solve for x
    x = 540,619,031,824/333,362
  6. Step 6: Final answer
    x = 1,621,717.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.