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Finding the Third Proportional to 373,825 and 810,749

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Solution

The third proportional to 373,825 and 810,749 is: 1,758,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,825 : 810,749 = 810,749 : x
  2. Step 2: Convert to fraction form
    373,825/810,749 = 810,749/x
  3. Step 3: Cross multiply
    373,825x = 810,749 × 810,749
  4. Step 4: Simplify right side
    373,825x = 657,313,941,001
  5. Step 5: Solve for x
    x = 657,313,941,001/373,825
  6. Step 6: Final answer
    x = 1,758,346.66

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Why These Related Problems?

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