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Finding the Third Proportional to 233,865 and 376,639

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Solution

The third proportional to 233,865 and 376,639 is: 606,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,865 : 376,639 = 376,639 : x
  2. Step 2: Convert to fraction form
    233,865/376,639 = 376,639/x
  3. Step 3: Cross multiply
    233,865x = 376,639 × 376,639
  4. Step 4: Simplify right side
    233,865x = 141,856,936,321
  5. Step 5: Solve for x
    x = 141,856,936,321/233,865
  6. Step 6: Final answer
    x = 606,576.17

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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.