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Finding the Third Proportional to 445,696 and 670,663

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Solution

The third proportional to 445,696 and 670,663 is: 1,009,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,696 : 670,663 = 670,663 : x
  2. Step 2: Convert to fraction form
    445,696/670,663 = 670,663/x
  3. Step 3: Cross multiply
    445,696x = 670,663 × 670,663
  4. Step 4: Simplify right side
    445,696x = 449,788,859,569
  5. Step 5: Solve for x
    x = 449,788,859,569/445,696
  6. Step 6: Final answer
    x = 1,009,183.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.