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Finding the Third Proportional to 293,676 and 466,770

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Solution

The third proportional to 293,676 and 466,770 is: 741,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,676 : 466,770 = 466,770 : x
  2. Step 2: Convert to fraction form
    293,676/466,770 = 466,770/x
  3. Step 3: Cross multiply
    293,676x = 466,770 × 466,770
  4. Step 4: Simplify right side
    293,676x = 217,874,232,900
  5. Step 5: Solve for x
    x = 217,874,232,900/293,676
  6. Step 6: Final answer
    x = 741,886.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.