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Finding the Third Proportional to 267,970,145 and 580,458,361

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Solution

The third proportional to 267,970,145 and 580,458,361 is: 1,257,348,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,145 : 580,458,361 = 580,458,361 : x
  2. Step 2: Convert to fraction form
    267,970,145/580,458,361 = 580,458,361/x
  3. Step 3: Cross multiply
    267,970,145x = 580,458,361 × 580,458,361
  4. Step 4: Simplify right side
    267,970,145x = 336,931,908,854,806,336
  5. Step 5: Solve for x
    x = 336,931,908,854,806,336/267,970,145
  6. Step 6: Final answer
    x = 1,257,348,682.83

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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.