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Finding the Third Proportional to 284,019 and 612,324.75

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Solution

The third proportional to 284,019 and 612,324.75 is: 1,320,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,019 : 612,324.75 = 612,324.75 : x
  2. Step 2: Convert to fraction form
    284,019/612,324.75 = 612,324.75/x
  3. Step 3: Cross multiply
    284,019x = 612,324.75 × 612,324.75
  4. Step 4: Simplify right side
    284,019x = 374,941,599,462.56
  5. Step 5: Solve for x
    x = 374,941,599,462.56/284,019
  6. Step 6: Final answer
    x = 1,320,128.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.