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Finding the Third Proportional to 383,625 and 807,025.50

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Solution

The third proportional to 383,625 and 807,025.50 is: 1,697,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,625 : 807,025.50 = 807,025.50 : x
  2. Step 2: Convert to fraction form
    383,625/807,025.50 = 807,025.50/x
  3. Step 3: Cross multiply
    383,625x = 807,025.50 × 807,025.50
  4. Step 4: Simplify right side
    383,625x = 651,290,157,650.25
  5. Step 5: Solve for x
    x = 651,290,157,650.25/383,625
  6. Step 6: Final answer
    x = 1,697,726.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.