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Finding the Third Proportional to 351,452,449 and 731,994,408

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Solution

The third proportional to 351,452,449 and 731,994,408 is: 1,524,575,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,452,449 : 731,994,408 = 731,994,408 : x
  2. Step 2: Convert to fraction form
    351,452,449/731,994,408 = 731,994,408/x
  3. Step 3: Cross multiply
    351,452,449x = 731,994,408 × 731,994,408
  4. Step 4: Simplify right side
    351,452,449x = 535,815,813,343,270,464
  5. Step 5: Solve for x
    x = 535,815,813,343,270,464/351,452,449
  6. Step 6: Final answer
    x = 1,524,575,557.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.