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Finding the Third Proportional to 472,608 and 717,649.50

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Solution

The third proportional to 472,608 and 717,649.50 is: 1,089,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,608 : 717,649.50 = 717,649.50 : x
  2. Step 2: Convert to fraction form
    472,608/717,649.50 = 717,649.50/x
  3. Step 3: Cross multiply
    472,608x = 717,649.50 × 717,649.50
  4. Step 4: Simplify right side
    472,608x = 515,020,804,850.25
  5. Step 5: Solve for x
    x = 515,020,804,850.25/472,608
  6. Step 6: Final answer
    x = 1,089,742.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.