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Finding the Third Proportional to 293,767,728 and 444,429,836.50

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Solution

The third proportional to 293,767,728 and 444,429,836.50 is: 672,360,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,767,728 : 444,429,836.50 = 444,429,836.50 : x
  2. Step 2: Convert to fraction form
    293,767,728/444,429,836.50 = 444,429,836.50/x
  3. Step 3: Cross multiply
    293,767,728x = 444,429,836.50 × 444,429,836.50
  4. Step 4: Simplify right side
    293,767,728x = 197,517,879,571,416,736
  5. Step 5: Solve for x
    x = 197,517,879,571,416,736/293,767,728
  6. Step 6: Final answer
    x = 672,360,714.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.