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Finding the Third Proportional to 299,132 and 632,032

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Solution

The third proportional to 299,132 and 632,032 is: 1,335,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,132 : 632,032 = 632,032 : x
  2. Step 2: Convert to fraction form
    299,132/632,032 = 632,032/x
  3. Step 3: Cross multiply
    299,132x = 632,032 × 632,032
  4. Step 4: Simplify right side
    299,132x = 399,464,449,024
  5. Step 5: Solve for x
    x = 399,464,449,024/299,132
  6. Step 6: Final answer
    x = 1,335,411.96

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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.