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Finding the Third Proportional to 233,696 and 333,044

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Solution

The third proportional to 233,696 and 333,044 is: 474,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,696 : 333,044 = 333,044 : x
  2. Step 2: Convert to fraction form
    233,696/333,044 = 333,044/x
  3. Step 3: Cross multiply
    233,696x = 333,044 × 333,044
  4. Step 4: Simplify right side
    233,696x = 110,918,305,936
  5. Step 5: Solve for x
    x = 110,918,305,936/233,696
  6. Step 6: Final answer
    x = 474,626.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.