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Finding the Third Proportional to 373,825.50 and 810,750

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Solution

The third proportional to 373,825.50 and 810,750 is: 1,758,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,825.50 : 810,750 = 810,750 : x
  2. Step 2: Convert to fraction form
    373,825.50/810,750 = 810,750/x
  3. Step 3: Cross multiply
    373,825.50x = 810,750 × 810,750
  4. Step 4: Simplify right side
    373,825.50x = 657,315,562,500
  5. Step 5: Solve for x
    x = 657,315,562,500/373,825.50
  6. Step 6: Final answer
    x = 1,758,348.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.