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Finding the Third Proportional to 624,200 and 942,859

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Solution

The third proportional to 624,200 and 942,859 is: 1,424,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,200 : 942,859 = 942,859 : x
  2. Step 2: Convert to fraction form
    624,200/942,859 = 942,859/x
  3. Step 3: Cross multiply
    624,200x = 942,859 × 942,859
  4. Step 4: Simplify right side
    624,200x = 888,983,093,881
  5. Step 5: Solve for x
    x = 888,983,093,881/624,200
  6. Step 6: Final answer
    x = 1,424,195.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.