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Finding the Third Proportional to 362,581 and 768,384

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Solution

The third proportional to 362,581 and 768,384 is: 1,628,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,581 : 768,384 = 768,384 : x
  2. Step 2: Convert to fraction form
    362,581/768,384 = 768,384/x
  3. Step 3: Cross multiply
    362,581x = 768,384 × 768,384
  4. Step 4: Simplify right side
    362,581x = 590,413,971,456
  5. Step 5: Solve for x
    x = 590,413,971,456/362,581
  6. Step 6: Final answer
    x = 1,628,364.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.