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Finding the Third Proportional to 628,573.50 and 897,743.25

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Solution

The third proportional to 628,573.50 and 897,743.25 is: 1,282,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,573.50 : 897,743.25 = 897,743.25 : x
  2. Step 2: Convert to fraction form
    628,573.50/897,743.25 = 897,743.25/x
  3. Step 3: Cross multiply
    628,573.50x = 897,743.25 × 897,743.25
  4. Step 4: Simplify right side
    628,573.50x = 805,942,942,920.56
  5. Step 5: Solve for x
    x = 805,942,942,920.56/628,573.50
  6. Step 6: Final answer
    x = 1,282,177.73

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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.