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Finding the Third Proportional to 351,452,458 and 731,994,422.50

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Solution

The third proportional to 351,452,458 and 731,994,422.50 is: 1,524,575,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,452,458 : 731,994,422.50 = 731,994,422.50 : x
  2. Step 2: Convert to fraction form
    351,452,458/731,994,422.50 = 731,994,422.50/x
  3. Step 3: Cross multiply
    351,452,458x = 731,994,422.50 × 731,994,422.50
  4. Step 4: Simplify right side
    351,452,458x = 535,815,834,571,108,480
  5. Step 5: Solve for x
    x = 535,815,834,571,108,480/351,452,458
  6. Step 6: Final answer
    x = 1,524,575,578.79

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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.