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Finding the Third Proportional to 632,896.50 and 845,442

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Solution

The third proportional to 632,896.50 and 845,442 is: 1,129,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,896.50 : 845,442 = 845,442 : x
  2. Step 2: Convert to fraction form
    632,896.50/845,442 = 845,442/x
  3. Step 3: Cross multiply
    632,896.50x = 845,442 × 845,442
  4. Step 4: Simplify right side
    632,896.50x = 714,772,175,364
  5. Step 5: Solve for x
    x = 714,772,175,364/632,896.50
  6. Step 6: Final answer
    x = 1,129,366.61

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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.