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Finding the Third Proportional to 412,611,740.25 and 617,283,768

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Solution

The third proportional to 412,611,740.25 and 617,283,768 is: 923,481,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,611,740.25 : 617,283,768 = 617,283,768 : x
  2. Step 2: Convert to fraction form
    412,611,740.25/617,283,768 = 617,283,768/x
  3. Step 3: Cross multiply
    412,611,740.25x = 617,283,768 × 617,283,768
  4. Step 4: Simplify right side
    412,611,740.25x = 381,039,250,236,277,824
  5. Step 5: Solve for x
    x = 381,039,250,236,277,824/412,611,740.25
  6. Step 6: Final answer
    x = 923,481,358.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.