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Finding the Third Proportional to 303,374 and 654,054

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Solution

The third proportional to 303,374 and 654,054 is: 1,410,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,374 : 654,054 = 654,054 : x
  2. Step 2: Convert to fraction form
    303,374/654,054 = 654,054/x
  3. Step 3: Cross multiply
    303,374x = 654,054 × 654,054
  4. Step 4: Simplify right side
    303,374x = 427,786,634,916
  5. Step 5: Solve for x
    x = 427,786,634,916/303,374
  6. Step 6: Final answer
    x = 1,410,096.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.