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Finding the Third Proportional to 307,392,445.13 and 449,560,065.94

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Solution

The third proportional to 307,392,445.13 and 449,560,065.94 is: 657,479,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,392,445.13 : 449,560,065.94 = 449,560,065.94 : x
  2. Step 2: Convert to fraction form
    307,392,445.13/449,560,065.94 = 449,560,065.94/x
  3. Step 3: Cross multiply
    307,392,445.13x = 449,560,065.94 × 449,560,065.94
  4. Step 4: Simplify right side
    307,392,445.13x = 202,104,252,885,729,344
  5. Step 5: Solve for x
    x = 202,104,252,885,729,344/307,392,445.13
  6. Step 6: Final answer
    x = 657,479,570.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.