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Finding the Third Proportional to 233,865 and 376,641

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Solution

The third proportional to 233,865 and 376,641 is: 606,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,865 : 376,641 = 376,641 : x
  2. Step 2: Convert to fraction form
    233,865/376,641 = 376,641/x
  3. Step 3: Cross multiply
    233,865x = 376,641 × 376,641
  4. Step 4: Simplify right side
    233,865x = 141,858,442,881
  5. Step 5: Solve for x
    x = 141,858,442,881/233,865
  6. Step 6: Final answer
    x = 606,582.61

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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.