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Finding the Third Proportional to 306,244,664 and 672,010,558

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Solution

The third proportional to 306,244,664 and 672,010,558 is: 1,474,632,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,244,664 : 672,010,558 = 672,010,558 : x
  2. Step 2: Convert to fraction form
    306,244,664/672,010,558 = 672,010,558/x
  3. Step 3: Cross multiply
    306,244,664x = 672,010,558 × 672,010,558
  4. Step 4: Simplify right side
    306,244,664x = 451,598,190,063,471,360
  5. Step 5: Solve for x
    x = 451,598,190,063,471,360/306,244,664
  6. Step 6: Final answer
    x = 1,474,632,028.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.