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Finding the Third Proportional to 638,317.50 and 945,152.25

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Solution

The third proportional to 638,317.50 and 945,152.25 is: 1,399,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,317.50 : 945,152.25 = 945,152.25 : x
  2. Step 2: Convert to fraction form
    638,317.50/945,152.25 = 945,152.25/x
  3. Step 3: Cross multiply
    638,317.50x = 945,152.25 × 945,152.25
  4. Step 4: Simplify right side
    638,317.50x = 893,312,775,680.06
  5. Step 5: Solve for x
    x = 893,312,775,680.06/638,317.50
  6. Step 6: Final answer
    x = 1,399,480.31

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.