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Finding the Third Proportional to 333,298 and 738,663

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Solution

The third proportional to 333,298 and 738,663 is: 1,637,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,298 : 738,663 = 738,663 : x
  2. Step 2: Convert to fraction form
    333,298/738,663 = 738,663/x
  3. Step 3: Cross multiply
    333,298x = 738,663 × 738,663
  4. Step 4: Simplify right side
    333,298x = 545,623,027,569
  5. Step 5: Solve for x
    x = 545,623,027,569/333,298
  6. Step 6: Final answer
    x = 1,637,042.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.