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Finding the Third Proportional to 289,176 and 613,344

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Solution

The third proportional to 289,176 and 613,344 is: 1,300,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,176 : 613,344 = 613,344 : x
  2. Step 2: Convert to fraction form
    289,176/613,344 = 613,344/x
  3. Step 3: Cross multiply
    289,176x = 613,344 × 613,344
  4. Step 4: Simplify right side
    289,176x = 376,190,862,336
  5. Step 5: Solve for x
    x = 376,190,862,336/289,176
  6. Step 6: Final answer
    x = 1,300,906.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.