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Finding the Third Proportional to 373,928 and 810,944

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Solution

The third proportional to 373,928 and 810,944 is: 1,758,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,928 : 810,944 = 810,944 : x
  2. Step 2: Convert to fraction form
    373,928/810,944 = 810,944/x
  3. Step 3: Cross multiply
    373,928x = 810,944 × 810,944
  4. Step 4: Simplify right side
    373,928x = 657,630,171,136
  5. Step 5: Solve for x
    x = 657,630,171,136/373,928
  6. Step 6: Final answer
    x = 1,758,708.02

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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.