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Finding the Third Proportional to 123,479 and 265,367

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Solution

The third proportional to 123,479 and 265,367 is: 570,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,479 : 265,367 = 265,367 : x
  2. Step 2: Convert to fraction form
    123,479/265,367 = 265,367/x
  3. Step 3: Cross multiply
    123,479x = 265,367 × 265,367
  4. Step 4: Simplify right side
    123,479x = 70,419,644,689
  5. Step 5: Solve for x
    x = 70,419,644,689/123,479
  6. Step 6: Final answer
    x = 570,296.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.