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Finding the Third Proportional to 380,397 and 588,690

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Solution

The third proportional to 380,397 and 588,690 is: 911,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,397 : 588,690 = 588,690 : x
  2. Step 2: Convert to fraction form
    380,397/588,690 = 588,690/x
  3. Step 3: Cross multiply
    380,397x = 588,690 × 588,690
  4. Step 4: Simplify right side
    380,397x = 346,555,916,100
  5. Step 5: Solve for x
    x = 346,555,916,100/380,397
  6. Step 6: Final answer
    x = 911,037.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.