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Finding the Third Proportional to 267,216 and 580,032

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Solution

The third proportional to 267,216 and 580,032 is: 1,259,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,216 : 580,032 = 580,032 : x
  2. Step 2: Convert to fraction form
    267,216/580,032 = 580,032/x
  3. Step 3: Cross multiply
    267,216x = 580,032 × 580,032
  4. Step 4: Simplify right side
    267,216x = 336,437,121,024
  5. Step 5: Solve for x
    x = 336,437,121,024/267,216
  6. Step 6: Final answer
    x = 1,259,045.57

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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.