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Finding the Third Proportional to 382,269 and 607,302

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Solution

The third proportional to 382,269 and 607,302 is: 964,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,269 : 607,302 = 607,302 : x
  2. Step 2: Convert to fraction form
    382,269/607,302 = 607,302/x
  3. Step 3: Cross multiply
    382,269x = 607,302 × 607,302
  4. Step 4: Simplify right side
    382,269x = 368,815,719,204
  5. Step 5: Solve for x
    x = 368,815,719,204/382,269
  6. Step 6: Final answer
    x = 964,806.77

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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.