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Finding the Third Proportional to 414,875.75 and 640,736

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Solution

The third proportional to 414,875.75 and 640,736 is: 989,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,875.75 : 640,736 = 640,736 : x
  2. Step 2: Convert to fraction form
    414,875.75/640,736 = 640,736/x
  3. Step 3: Cross multiply
    414,875.75x = 640,736 × 640,736
  4. Step 4: Simplify right side
    414,875.75x = 410,542,621,696
  5. Step 5: Solve for x
    x = 410,542,621,696/414,875.75
  6. Step 6: Final answer
    x = 989,555.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.