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Finding the Third Proportional to 343,604 and 738,016

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Solution

The third proportional to 343,604 and 738,016 is: 1,585,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,604 : 738,016 = 738,016 : x
  2. Step 2: Convert to fraction form
    343,604/738,016 = 738,016/x
  3. Step 3: Cross multiply
    343,604x = 738,016 × 738,016
  4. Step 4: Simplify right side
    343,604x = 544,667,616,256
  5. Step 5: Solve for x
    x = 544,667,616,256/343,604
  6. Step 6: Final answer
    x = 1,585,160.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.