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Finding the Third Proportional to 656,231 and 938,401

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Solution

The third proportional to 656,231 and 938,401 is: 1,341,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,231 : 938,401 = 938,401 : x
  2. Step 2: Convert to fraction form
    656,231/938,401 = 938,401/x
  3. Step 3: Cross multiply
    656,231x = 938,401 × 938,401
  4. Step 4: Simplify right side
    656,231x = 880,596,436,801
  5. Step 5: Solve for x
    x = 880,596,436,801/656,231
  6. Step 6: Final answer
    x = 1,341,900.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.