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Finding the Third Proportional to 258,510 and 372,333

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Solution

The third proportional to 258,510 and 372,333 is: 536,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,510 : 372,333 = 372,333 : x
  2. Step 2: Convert to fraction form
    258,510/372,333 = 372,333/x
  3. Step 3: Cross multiply
    258,510x = 372,333 × 372,333
  4. Step 4: Simplify right side
    258,510x = 138,631,862,889
  5. Step 5: Solve for x
    x = 138,631,862,889/258,510
  6. Step 6: Final answer
    x = 536,272.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.