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Finding the Third Proportional to 635,135.50 and 1,362,368

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Solution

The third proportional to 635,135.50 and 1,362,368 is: 2,922,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,135.50 : 1,362,368 = 1,362,368 : x
  2. Step 2: Convert to fraction form
    635,135.50/1,362,368 = 1,362,368/x
  3. Step 3: Cross multiply
    635,135.50x = 1,362,368 × 1,362,368
  4. Step 4: Simplify right side
    635,135.50x = 1,856,046,567,424
  5. Step 5: Solve for x
    x = 1,856,046,567,424/635,135.50
  6. Step 6: Final answer
    x = 2,922,284.41

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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.