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Finding the Third Proportional to 283,584 and 618,680

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Solution

The third proportional to 283,584 and 618,680 is: 1,349,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,584 : 618,680 = 618,680 : x
  2. Step 2: Convert to fraction form
    283,584/618,680 = 618,680/x
  3. Step 3: Cross multiply
    283,584x = 618,680 × 618,680
  4. Step 4: Simplify right side
    283,584x = 382,764,942,400
  5. Step 5: Solve for x
    x = 382,764,942,400/283,584
  6. Step 6: Final answer
    x = 1,349,740.97

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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.