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Finding the Third Proportional to 310,986 and 671,652

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Solution

The third proportional to 310,986 and 671,652 is: 1,450,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,986 : 671,652 = 671,652 : x
  2. Step 2: Convert to fraction form
    310,986/671,652 = 671,652/x
  3. Step 3: Cross multiply
    310,986x = 671,652 × 671,652
  4. Step 4: Simplify right side
    310,986x = 451,116,409,104
  5. Step 5: Solve for x
    x = 451,116,409,104/310,986
  6. Step 6: Final answer
    x = 1,450,600.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.