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Finding the Third Proportional to 631,626.75 and 970,868.25

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Solution

The third proportional to 631,626.75 and 970,868.25 is: 1,492,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,626.75 : 970,868.25 = 970,868.25 : x
  2. Step 2: Convert to fraction form
    631,626.75/970,868.25 = 970,868.25/x
  3. Step 3: Cross multiply
    631,626.75x = 970,868.25 × 970,868.25
  4. Step 4: Simplify right side
    631,626.75x = 942,585,158,858.06
  5. Step 5: Solve for x
    x = 942,585,158,858.06/631,626.75
  6. Step 6: Final answer
    x = 1,492,313.55

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Why These Related Problems?

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