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Finding the Third Proportional to 299,732 and 632,920

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Solution

The third proportional to 299,732 and 632,920 is: 1,336,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732 : 632,920 = 632,920 : x
  2. Step 2: Convert to fraction form
    299,732/632,920 = 632,920/x
  3. Step 3: Cross multiply
    299,732x = 632,920 × 632,920
  4. Step 4: Simplify right side
    299,732x = 400,587,726,400
  5. Step 5: Solve for x
    x = 400,587,726,400/299,732
  6. Step 6: Final answer
    x = 1,336,486.35

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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.