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Finding the Third Proportional to 233,946 and 376,758

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Solution

The third proportional to 233,946 and 376,758 is: 606,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,946 : 376,758 = 376,758 : x
  2. Step 2: Convert to fraction form
    233,946/376,758 = 376,758/x
  3. Step 3: Cross multiply
    233,946x = 376,758 × 376,758
  4. Step 4: Simplify right side
    233,946x = 141,946,590,564
  5. Step 5: Solve for x
    x = 141,946,590,564/233,946
  6. Step 6: Final answer
    x = 606,749.38

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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.