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Finding the Third Proportional to 267,970,148 and 580,458,367

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Solution

The third proportional to 267,970,148 and 580,458,367 is: 1,257,348,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,148 : 580,458,367 = 580,458,367 : x
  2. Step 2: Convert to fraction form
    267,970,148/580,458,367 = 580,458,367/x
  3. Step 3: Cross multiply
    267,970,148x = 580,458,367 × 580,458,367
  4. Step 4: Simplify right side
    267,970,148x = 336,931,915,820,306,688
  5. Step 5: Solve for x
    x = 336,931,915,820,306,688/267,970,148
  6. Step 6: Final answer
    x = 1,257,348,694.75

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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.