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Finding the Third Proportional to 307,986 and 668,580

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Solution

The third proportional to 307,986 and 668,580 is: 1,451,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,986 : 668,580 = 668,580 : x
  2. Step 2: Convert to fraction form
    307,986/668,580 = 668,580/x
  3. Step 3: Cross multiply
    307,986x = 668,580 × 668,580
  4. Step 4: Simplify right side
    307,986x = 446,999,216,400
  5. Step 5: Solve for x
    x = 446,999,216,400/307,986
  6. Step 6: Final answer
    x = 1,451,362.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.