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Finding the Third Proportional to 414,022.50 and 624,968.25

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Solution

The third proportional to 414,022.50 and 624,968.25 is: 943,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,022.50 : 624,968.25 = 624,968.25 : x
  2. Step 2: Convert to fraction form
    414,022.50/624,968.25 = 624,968.25/x
  3. Step 3: Cross multiply
    414,022.50x = 624,968.25 × 624,968.25
  4. Step 4: Simplify right side
    414,022.50x = 390,585,313,508.06
  5. Step 5: Solve for x
    x = 390,585,313,508.06/414,022.50
  6. Step 6: Final answer
    x = 943,391.51

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1.5x scale

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.