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Finding the Third Proportional to 306,034,495.31 and 664,027,723.69

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Solution

The third proportional to 306,034,495.31 and 664,027,723.69 is: 1,440,794,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,495.31 : 664,027,723.69 = 664,027,723.69 : x
  2. Step 2: Convert to fraction form
    306,034,495.31/664,027,723.69 = 664,027,723.69/x
  3. Step 3: Cross multiply
    306,034,495.31x = 664,027,723.69 × 664,027,723.69
  4. Step 4: Simplify right side
    306,034,495.31x = 440,932,817,825,602,880
  5. Step 5: Solve for x
    x = 440,932,817,825,602,880/306,034,495.31
  6. Step 6: Final answer
    x = 1,440,794,500.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.