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Finding the Third Proportional to 631,296 and 850,554

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Solution

The third proportional to 631,296 and 850,554 is: 1,145,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,296 : 850,554 = 850,554 : x
  2. Step 2: Convert to fraction form
    631,296/850,554 = 850,554/x
  3. Step 3: Cross multiply
    631,296x = 850,554 × 850,554
  4. Step 4: Simplify right side
    631,296x = 723,442,106,916
  5. Step 5: Solve for x
    x = 723,442,106,916/631,296
  6. Step 6: Final answer
    x = 1,145,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.