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Finding the Third Proportional to 382,268 and 607,301

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Solution

The third proportional to 382,268 and 607,301 is: 964,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,268 : 607,301 = 607,301 : x
  2. Step 2: Convert to fraction form
    382,268/607,301 = 607,301/x
  3. Step 3: Cross multiply
    382,268x = 607,301 × 607,301
  4. Step 4: Simplify right side
    382,268x = 368,814,504,601
  5. Step 5: Solve for x
    x = 368,814,504,601/382,268
  6. Step 6: Final answer
    x = 964,806.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.