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Finding the Third Proportional to 646,675 and 978,958.50

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Solution

The third proportional to 646,675 and 978,958.50 is: 1,481,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,675 : 978,958.50 = 978,958.50 : x
  2. Step 2: Convert to fraction form
    646,675/978,958.50 = 978,958.50/x
  3. Step 3: Cross multiply
    646,675x = 978,958.50 × 978,958.50
  4. Step 4: Simplify right side
    646,675x = 958,359,744,722.25
  5. Step 5: Solve for x
    x = 958,359,744,722.25/646,675
  6. Step 6: Final answer
    x = 1,481,980.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.