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Finding the Third Proportional to 233,890 and 376,673

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Solution

The third proportional to 233,890 and 376,673 is: 606,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,890 : 376,673 = 376,673 : x
  2. Step 2: Convert to fraction form
    233,890/376,673 = 376,673/x
  3. Step 3: Cross multiply
    233,890x = 376,673 × 376,673
  4. Step 4: Simplify right side
    233,890x = 141,882,548,929
  5. Step 5: Solve for x
    x = 141,882,548,929/233,890
  6. Step 6: Final answer
    x = 606,620.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.