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Finding the Third Proportional to 355,373 and 838,916

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Solution

The third proportional to 355,373 and 838,916 is: 1,980,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,373 : 838,916 = 838,916 : x
  2. Step 2: Convert to fraction form
    355,373/838,916 = 838,916/x
  3. Step 3: Cross multiply
    355,373x = 838,916 × 838,916
  4. Step 4: Simplify right side
    355,373x = 703,780,055,056
  5. Step 5: Solve for x
    x = 703,780,055,056/355,373
  6. Step 6: Final answer
    x = 1,980,398.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.