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Finding the Third Proportional to 494,831.25 and 818,883

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Solution

The third proportional to 494,831.25 and 818,883 is: 1,355,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,831.25 : 818,883 = 818,883 : x
  2. Step 2: Convert to fraction form
    494,831.25/818,883 = 818,883/x
  3. Step 3: Cross multiply
    494,831.25x = 818,883 × 818,883
  4. Step 4: Simplify right side
    494,831.25x = 670,569,367,689
  5. Step 5: Solve for x
    x = 670,569,367,689/494,831.25
  6. Step 6: Final answer
    x = 1,355,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.