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Finding the Third Proportional to 307,302 and 670,641

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Solution

The third proportional to 307,302 and 670,641 is: 1,463,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,302 : 670,641 = 670,641 : x
  2. Step 2: Convert to fraction form
    307,302/670,641 = 670,641/x
  3. Step 3: Cross multiply
    307,302x = 670,641 × 670,641
  4. Step 4: Simplify right side
    307,302x = 449,759,350,881
  5. Step 5: Solve for x
    x = 449,759,350,881/307,302
  6. Step 6: Final answer
    x = 1,463,574.43

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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.