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Finding the Third Proportional to 299,373 and 632,463

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Solution

The third proportional to 299,373 and 632,463 is: 1,336,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,373 : 632,463 = 632,463 : x
  2. Step 2: Convert to fraction form
    299,373/632,463 = 632,463/x
  3. Step 3: Cross multiply
    299,373x = 632,463 × 632,463
  4. Step 4: Simplify right side
    299,373x = 400,009,446,369
  5. Step 5: Solve for x
    x = 400,009,446,369/299,373
  6. Step 6: Final answer
    x = 1,336,157.39

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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.