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Finding the Third Proportional to 273,553,989.75 and 588,653,704.69

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Solution

The third proportional to 273,553,989.75 and 588,653,704.69 is: 1,266,708,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,553,989.75 : 588,653,704.69 = 588,653,704.69 : x
  2. Step 2: Convert to fraction form
    273,553,989.75/588,653,704.69 = 588,653,704.69/x
  3. Step 3: Cross multiply
    273,553,989.75x = 588,653,704.69 × 588,653,704.69
  4. Step 4: Simplify right side
    273,553,989.75x = 346,513,184,042,318,464
  5. Step 5: Solve for x
    x = 346,513,184,042,318,464/273,553,989.75
  6. Step 6: Final answer
    x = 1,266,708,573.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.