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Finding the Third Proportional to 354,584 and 768,244

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Solution

The third proportional to 354,584 and 768,244 is: 1,664,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,584 : 768,244 = 768,244 : x
  2. Step 2: Convert to fraction form
    354,584/768,244 = 768,244/x
  3. Step 3: Cross multiply
    354,584x = 768,244 × 768,244
  4. Step 4: Simplify right side
    354,584x = 590,198,843,536
  5. Step 5: Solve for x
    x = 590,198,843,536/354,584
  6. Step 6: Final answer
    x = 1,664,482.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.