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Finding the Third Proportional to 267,970,679.44 and 580,459,381.88

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Solution

The third proportional to 267,970,679.44 and 580,459,381.88 is: 1,257,350,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,679.44 : 580,459,381.88 = 580,459,381.88 : x
  2. Step 2: Convert to fraction form
    267,970,679.44/580,459,381.88 = 580,459,381.88/x
  3. Step 3: Cross multiply
    267,970,679.44x = 580,459,381.88 × 580,459,381.88
  4. Step 4: Simplify right side
    267,970,679.44x = 336,933,094,006,707,072
  5. Step 5: Solve for x
    x = 336,933,094,006,707,072/267,970,679.44
  6. Step 6: Final answer
    x = 1,257,350,597.89

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Why These Related Problems?

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