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Finding the Third Proportional to 632,869 and 845,400

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Solution

The third proportional to 632,869 and 845,400 is: 1,129,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,869 : 845,400 = 845,400 : x
  2. Step 2: Convert to fraction form
    632,869/845,400 = 845,400/x
  3. Step 3: Cross multiply
    632,869x = 845,400 × 845,400
  4. Step 4: Simplify right side
    632,869x = 714,701,160,000
  5. Step 5: Solve for x
    x = 714,701,160,000/632,869
  6. Step 6: Final answer
    x = 1,129,303.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.