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Finding the Third Proportional to 624,191.25 and 942,848.25

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Solution

The third proportional to 624,191.25 and 942,848.25 is: 1,424,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,191.25 : 942,848.25 = 942,848.25 : x
  2. Step 2: Convert to fraction form
    624,191.25/942,848.25 = 942,848.25/x
  3. Step 3: Cross multiply
    624,191.25x = 942,848.25 × 942,848.25
  4. Step 4: Simplify right side
    624,191.25x = 888,962,822,528.06
  5. Step 5: Solve for x
    x = 888,962,822,528.06/624,191.25
  6. Step 6: Final answer
    x = 1,424,183.41

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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.