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Finding the Third Proportional to 233,764 and 330,774

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Solution

The third proportional to 233,764 and 330,774 is: 468,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,764 : 330,774 = 330,774 : x
  2. Step 2: Convert to fraction form
    233,764/330,774 = 330,774/x
  3. Step 3: Cross multiply
    233,764x = 330,774 × 330,774
  4. Step 4: Simplify right side
    233,764x = 109,411,439,076
  5. Step 5: Solve for x
    x = 109,411,439,076/233,764
  6. Step 6: Final answer
    x = 468,042.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.