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Finding the Third Proportional to 299,734 and 632,924

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Solution

The third proportional to 299,734 and 632,924 is: 1,336,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,734 : 632,924 = 632,924 : x
  2. Step 2: Convert to fraction form
    299,734/632,924 = 632,924/x
  3. Step 3: Cross multiply
    299,734x = 632,924 × 632,924
  4. Step 4: Simplify right side
    299,734x = 400,592,789,776
  5. Step 5: Solve for x
    x = 400,592,789,776/299,734
  6. Step 6: Final answer
    x = 1,336,494.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.