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Finding the Third Proportional to 267,970,158 and 580,458,388

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Solution

The third proportional to 267,970,158 and 580,458,388 is: 1,257,348,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,158 : 580,458,388 = 580,458,388 : x
  2. Step 2: Convert to fraction form
    267,970,158/580,458,388 = 580,458,388/x
  3. Step 3: Cross multiply
    267,970,158x = 580,458,388 × 580,458,388
  4. Step 4: Simplify right side
    267,970,158x = 336,931,940,199,558,528
  5. Step 5: Solve for x
    x = 336,931,940,199,558,528/267,970,158
  6. Step 6: Final answer
    x = 1,257,348,738.81

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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.