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Finding the Third Proportional to 272,878 and 573,997

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Solution

The third proportional to 272,878 and 573,997 is: 1,207,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,878 : 573,997 = 573,997 : x
  2. Step 2: Convert to fraction form
    272,878/573,997 = 573,997/x
  3. Step 3: Cross multiply
    272,878x = 573,997 × 573,997
  4. Step 4: Simplify right side
    272,878x = 329,472,556,009
  5. Step 5: Solve for x
    x = 329,472,556,009/272,878
  6. Step 6: Final answer
    x = 1,207,398.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.