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Finding the Third Proportional to 575,016 and 823,380

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Solution

The third proportional to 575,016 and 823,380 is: 1,179,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,016 : 823,380 = 823,380 : x
  2. Step 2: Convert to fraction form
    575,016/823,380 = 823,380/x
  3. Step 3: Cross multiply
    575,016x = 823,380 × 823,380
  4. Step 4: Simplify right side
    575,016x = 677,954,624,400
  5. Step 5: Solve for x
    x = 677,954,624,400/575,016
  6. Step 6: Final answer
    x = 1,179,018.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.