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Finding the Third Proportional to 283,442,238.56 and 405,322,882.88

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Solution

The third proportional to 283,442,238.56 and 405,322,882.88 is: 579,612,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442,238.56 : 405,322,882.88 = 405,322,882.88 : x
  2. Step 2: Convert to fraction form
    283,442,238.56/405,322,882.88 = 405,322,882.88/x
  3. Step 3: Cross multiply
    283,442,238.56x = 405,322,882.88 × 405,322,882.88
  4. Step 4: Simplify right side
    283,442,238.56x = 164,286,639,382,100,960
  5. Step 5: Solve for x
    x = 164,286,639,382,100,960/283,442,238.56
  6. Step 6: Final answer
    x = 579,612,411.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.