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Finding the Third Proportional to 281,472 and 599,544

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Solution

The third proportional to 281,472 and 599,544 is: 1,277,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,472 : 599,544 = 599,544 : x
  2. Step 2: Convert to fraction form
    281,472/599,544 = 599,544/x
  3. Step 3: Cross multiply
    281,472x = 599,544 × 599,544
  4. Step 4: Simplify right side
    281,472x = 359,453,007,936
  5. Step 5: Solve for x
    x = 359,453,007,936/281,472
  6. Step 6: Final answer
    x = 1,277,047.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.