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Finding the Third Proportional to 267,888 and 589,344

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Solution

The third proportional to 267,888 and 589,344 is: 1,296,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,888 : 589,344 = 589,344 : x
  2. Step 2: Convert to fraction form
    267,888/589,344 = 589,344/x
  3. Step 3: Cross multiply
    267,888x = 589,344 × 589,344
  4. Step 4: Simplify right side
    267,888x = 347,326,350,336
  5. Step 5: Solve for x
    x = 347,326,350,336/267,888
  6. Step 6: Final answer
    x = 1,296,535.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.