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Finding the Third Proportional to 380,296 and 584,593

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Solution

The third proportional to 380,296 and 584,593 is: 898,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,296 : 584,593 = 584,593 : x
  2. Step 2: Convert to fraction form
    380,296/584,593 = 584,593/x
  3. Step 3: Cross multiply
    380,296x = 584,593 × 584,593
  4. Step 4: Simplify right side
    380,296x = 341,748,975,649
  5. Step 5: Solve for x
    x = 341,748,975,649/380,296
  6. Step 6: Final answer
    x = 898,639.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.