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Finding the Third Proportional to 299,375 and 632,467

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Solution

The third proportional to 299,375 and 632,467 is: 1,336,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,375 : 632,467 = 632,467 : x
  2. Step 2: Convert to fraction form
    299,375/632,467 = 632,467/x
  3. Step 3: Cross multiply
    299,375x = 632,467 × 632,467
  4. Step 4: Simplify right side
    299,375x = 400,014,506,089
  5. Step 5: Solve for x
    x = 400,014,506,089/299,375
  6. Step 6: Final answer
    x = 1,336,165.36

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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.