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Finding the Third Proportional to 406,734 and 618,393

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Solution

The third proportional to 406,734 and 618,393 is: 940,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,734 : 618,393 = 618,393 : x
  2. Step 2: Convert to fraction form
    406,734/618,393 = 618,393/x
  3. Step 3: Cross multiply
    406,734x = 618,393 × 618,393
  4. Step 4: Simplify right side
    406,734x = 382,409,902,449
  5. Step 5: Solve for x
    x = 382,409,902,449/406,734
  6. Step 6: Final answer
    x = 940,196.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.