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Finding the Third Proportional to 362,638 and 599,307

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Solution

The third proportional to 362,638 and 599,307 is: 990,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,638 : 599,307 = 599,307 : x
  2. Step 2: Convert to fraction form
    362,638/599,307 = 599,307/x
  3. Step 3: Cross multiply
    362,638x = 599,307 × 599,307
  4. Step 4: Simplify right side
    362,638x = 359,168,880,249
  5. Step 5: Solve for x
    x = 359,168,880,249/362,638
  6. Step 6: Final answer
    x = 990,433.66

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.