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Finding the Third Proportional to 439,168,758.75 and 585,493,011

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Solution

The third proportional to 439,168,758.75 and 585,493,011 is: 780,570,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,168,758.75 : 585,493,011 = 585,493,011 : x
  2. Step 2: Convert to fraction form
    439,168,758.75/585,493,011 = 585,493,011/x
  3. Step 3: Cross multiply
    439,168,758.75x = 585,493,011 × 585,493,011
  4. Step 4: Simplify right side
    439,168,758.75x = 342,802,065,929,846,144
  5. Step 5: Solve for x
    x = 342,802,065,929,846,144/439,168,758.75
  6. Step 6: Final answer
    x = 780,570,245.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.