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Finding the Third Proportional to 714,361 and 972,825

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Solution

The third proportional to 714,361 and 972,825 is: 1,324,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,361 : 972,825 = 972,825 : x
  2. Step 2: Convert to fraction form
    714,361/972,825 = 972,825/x
  3. Step 3: Cross multiply
    714,361x = 972,825 × 972,825
  4. Step 4: Simplify right side
    714,361x = 946,388,480,625
  5. Step 5: Solve for x
    x = 946,388,480,625/714,361
  6. Step 6: Final answer
    x = 1,324,804.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.