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Finding the Third Proportional to 645,365.75 and 968,048.75

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Solution

The third proportional to 645,365.75 and 968,048.75 is: 1,452,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,365.75 : 968,048.75 = 968,048.75 : x
  2. Step 2: Convert to fraction form
    645,365.75/968,048.75 = 968,048.75/x
  3. Step 3: Cross multiply
    645,365.75x = 968,048.75 × 968,048.75
  4. Step 4: Simplify right side
    645,365.75x = 937,118,382,376.56
  5. Step 5: Solve for x
    x = 937,118,382,376.56/645,365.75
  6. Step 6: Final answer
    x = 1,452,073.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.