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Finding the Third Proportional to 294,936 and 631,912

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Solution

The third proportional to 294,936 and 631,912 is: 1,353,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,936 : 631,912 = 631,912 : x
  2. Step 2: Convert to fraction form
    294,936/631,912 = 631,912/x
  3. Step 3: Cross multiply
    294,936x = 631,912 × 631,912
  4. Step 4: Simplify right side
    294,936x = 399,312,775,744
  5. Step 5: Solve for x
    x = 399,312,775,744/294,936
  6. Step 6: Final answer
    x = 1,353,896.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.