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Finding the Third Proportional to 351,453,504 and 731,996,208

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Solution

The third proportional to 351,453,504 and 731,996,208 is: 1,524,578,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,453,504 : 731,996,208 = 731,996,208 : x
  2. Step 2: Convert to fraction form
    351,453,504/731,996,208 = 731,996,208/x
  3. Step 3: Cross multiply
    351,453,504x = 731,996,208 × 731,996,208
  4. Step 4: Simplify right side
    351,453,504x = 535,818,448,526,379,264
  5. Step 5: Solve for x
    x = 535,818,448,526,379,264/351,453,504
  6. Step 6: Final answer
    x = 1,524,578,478.88

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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.