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Finding the Third Proportional to 267,970,143 and 580,458,357

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Solution

The third proportional to 267,970,143 and 580,458,357 is: 1,257,348,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,143 : 580,458,357 = 580,458,357 : x
  2. Step 2: Convert to fraction form
    267,970,143/580,458,357 = 580,458,357/x
  3. Step 3: Cross multiply
    267,970,143x = 580,458,357 × 580,458,357
  4. Step 4: Simplify right side
    267,970,143x = 336,931,904,211,139,456
  5. Step 5: Solve for x
    x = 336,931,904,211,139,456/267,970,143
  6. Step 6: Final answer
    x = 1,257,348,674.89

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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.