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Finding the Third Proportional to 283,510 and 616,832

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Solution

The third proportional to 283,510 and 616,832 is: 1,342,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,510 : 616,832 = 616,832 : x
  2. Step 2: Convert to fraction form
    283,510/616,832 = 616,832/x
  3. Step 3: Cross multiply
    283,510x = 616,832 × 616,832
  4. Step 4: Simplify right side
    283,510x = 380,481,716,224
  5. Step 5: Solve for x
    x = 380,481,716,224/283,510
  6. Step 6: Final answer
    x = 1,342,039.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.