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Finding the Third Proportional to 258,851 and 397,319

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Solution

The third proportional to 258,851 and 397,319 is: 609,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,851 : 397,319 = 397,319 : x
  2. Step 2: Convert to fraction form
    258,851/397,319 = 397,319/x
  3. Step 3: Cross multiply
    258,851x = 397,319 × 397,319
  4. Step 4: Simplify right side
    258,851x = 157,862,387,761
  5. Step 5: Solve for x
    x = 157,862,387,761/258,851
  6. Step 6: Final answer
    x = 609,858.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.