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Finding the Third Proportional to 286,618.50 and 622,323

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Solution

The third proportional to 286,618.50 and 622,323 is: 1,351,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,618.50 : 622,323 = 622,323 : x
  2. Step 2: Convert to fraction form
    286,618.50/622,323 = 622,323/x
  3. Step 3: Cross multiply
    286,618.50x = 622,323 × 622,323
  4. Step 4: Simplify right side
    286,618.50x = 387,285,916,329
  5. Step 5: Solve for x
    x = 387,285,916,329/286,618.50
  6. Step 6: Final answer
    x = 1,351,224.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.