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Finding the Third Proportional to 294,227,883 and 624,320,406

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Solution

The third proportional to 294,227,883 and 624,320,406 is: 1,324,741,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,227,883 : 624,320,406 = 624,320,406 : x
  2. Step 2: Convert to fraction form
    294,227,883/624,320,406 = 624,320,406/x
  3. Step 3: Cross multiply
    294,227,883x = 624,320,406 × 624,320,406
  4. Step 4: Simplify right side
    294,227,883x = 389,775,969,348,004,864
  5. Step 5: Solve for x
    x = 389,775,969,348,004,864/294,227,883
  6. Step 6: Final answer
    x = 1,324,741,779.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.