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Finding the Third Proportional to 212,729 and 448,696

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Solution

The third proportional to 212,729 and 448,696 is: 946,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,729 : 448,696 = 448,696 : x
  2. Step 2: Convert to fraction form
    212,729/448,696 = 448,696/x
  3. Step 3: Cross multiply
    212,729x = 448,696 × 448,696
  4. Step 4: Simplify right side
    212,729x = 201,328,100,416
  5. Step 5: Solve for x
    x = 201,328,100,416/212,729
  6. Step 6: Final answer
    x = 946,406.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.