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Finding the Third Proportional to 331,041 and 701,804

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Solution

The third proportional to 331,041 and 701,804 is: 1,487,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,041 : 701,804 = 701,804 : x
  2. Step 2: Convert to fraction form
    331,041/701,804 = 701,804/x
  3. Step 3: Cross multiply
    331,041x = 701,804 × 701,804
  4. Step 4: Simplify right side
    331,041x = 492,528,854,416
  5. Step 5: Solve for x
    x = 492,528,854,416/331,041
  6. Step 6: Final answer
    x = 1,487,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.