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Finding the Third Proportional to 294,938 and 631,916

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Solution

The third proportional to 294,938 and 631,916 is: 1,353,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,938 : 631,916 = 631,916 : x
  2. Step 2: Convert to fraction form
    294,938/631,916 = 631,916/x
  3. Step 3: Cross multiply
    294,938x = 631,916 × 631,916
  4. Step 4: Simplify right side
    294,938x = 399,317,831,056
  5. Step 5: Solve for x
    x = 399,317,831,056/294,938
  6. Step 6: Final answer
    x = 1,353,904.32

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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.