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Finding the Third Proportional to 402,728 and 882,956

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Solution

The third proportional to 402,728 and 882,956 is: 1,935,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,728 : 882,956 = 882,956 : x
  2. Step 2: Convert to fraction form
    402,728/882,956 = 882,956/x
  3. Step 3: Cross multiply
    402,728x = 882,956 × 882,956
  4. Step 4: Simplify right side
    402,728x = 779,611,297,936
  5. Step 5: Solve for x
    x = 779,611,297,936/402,728
  6. Step 6: Final answer
    x = 1,935,825.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.