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Finding the Third Proportional to 307,338 and 670,716

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Solution

The third proportional to 307,338 and 670,716 is: 1,463,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,338 : 670,716 = 670,716 : x
  2. Step 2: Convert to fraction form
    307,338/670,716 = 670,716/x
  3. Step 3: Cross multiply
    307,338x = 670,716 × 670,716
  4. Step 4: Simplify right side
    307,338x = 449,859,952,656
  5. Step 5: Solve for x
    x = 449,859,952,656/307,338
  6. Step 6: Final answer
    x = 1,463,730.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.