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Finding the Third Proportional to 443,302 and 685,736

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Solution

The third proportional to 443,302 and 685,736 is: 1,060,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,302 : 685,736 = 685,736 : x
  2. Step 2: Convert to fraction form
    443,302/685,736 = 685,736/x
  3. Step 3: Cross multiply
    443,302x = 685,736 × 685,736
  4. Step 4: Simplify right side
    443,302x = 470,233,861,696
  5. Step 5: Solve for x
    x = 470,233,861,696/443,302
  6. Step 6: Final answer
    x = 1,060,752.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.