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Finding the Third Proportional to 292,640 and 628,942

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Solution

The third proportional to 292,640 and 628,942 is: 1,351,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,640 : 628,942 = 628,942 : x
  2. Step 2: Convert to fraction form
    292,640/628,942 = 628,942/x
  3. Step 3: Cross multiply
    292,640x = 628,942 × 628,942
  4. Step 4: Simplify right side
    292,640x = 395,568,039,364
  5. Step 5: Solve for x
    x = 395,568,039,364/292,640
  6. Step 6: Final answer
    x = 1,351,722.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.