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Finding the Third Proportional to 333,364 and 735,272

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Solution

The third proportional to 333,364 and 735,272 is: 1,621,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,364 : 735,272 = 735,272 : x
  2. Step 2: Convert to fraction form
    333,364/735,272 = 735,272/x
  3. Step 3: Cross multiply
    333,364x = 735,272 × 735,272
  4. Step 4: Simplify right side
    333,364x = 540,624,913,984
  5. Step 5: Solve for x
    x = 540,624,913,984/333,364
  6. Step 6: Final answer
    x = 1,621,725.54

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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.