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Finding the Third Proportional to 575,012 and 823,374

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Solution

The third proportional to 575,012 and 823,374 is: 1,179,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,012 : 823,374 = 823,374 : x
  2. Step 2: Convert to fraction form
    575,012/823,374 = 823,374/x
  3. Step 3: Cross multiply
    575,012x = 823,374 × 823,374
  4. Step 4: Simplify right side
    575,012x = 677,944,743,876
  5. Step 5: Solve for x
    x = 677,944,743,876/575,012
  6. Step 6: Final answer
    x = 1,179,009.73

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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.