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Finding the Third Proportional to 272,097 and 635,391

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Solution

The third proportional to 272,097 and 635,391 is: 1,483,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097 : 635,391 = 635,391 : x
  2. Step 2: Convert to fraction form
    272,097/635,391 = 635,391/x
  3. Step 3: Cross multiply
    272,097x = 635,391 × 635,391
  4. Step 4: Simplify right side
    272,097x = 403,721,722,881
  5. Step 5: Solve for x
    x = 403,721,722,881/272,097
  6. Step 6: Final answer
    x = 1,483,741.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.