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Finding the Third Proportional to 233,868 and 376,644

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Solution

The third proportional to 233,868 and 376,644 is: 606,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,868 : 376,644 = 376,644 : x
  2. Step 2: Convert to fraction form
    233,868/376,644 = 376,644/x
  3. Step 3: Cross multiply
    233,868x = 376,644 × 376,644
  4. Step 4: Simplify right side
    233,868x = 141,860,702,736
  5. Step 5: Solve for x
    x = 141,860,702,736/233,868
  6. Step 6: Final answer
    x = 606,584.50

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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.