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Finding the Third Proportional to 293,548 and 466,512

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Solution

The third proportional to 293,548 and 466,512 is: 741,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,548 : 466,512 = 466,512 : x
  2. Step 2: Convert to fraction form
    293,548/466,512 = 466,512/x
  3. Step 3: Cross multiply
    293,548x = 466,512 × 466,512
  4. Step 4: Simplify right side
    293,548x = 217,633,446,144
  5. Step 5: Solve for x
    x = 217,633,446,144/293,548
  6. Step 6: Final answer
    x = 741,389.64

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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.