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Finding the Third Proportional to 374,980 and 794,024

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Solution

The third proportional to 374,980 and 794,024 is: 1,681,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,980 : 794,024 = 794,024 : x
  2. Step 2: Convert to fraction form
    374,980/794,024 = 794,024/x
  3. Step 3: Cross multiply
    374,980x = 794,024 × 794,024
  4. Step 4: Simplify right side
    374,980x = 630,474,112,576
  5. Step 5: Solve for x
    x = 630,474,112,576/374,980
  6. Step 6: Final answer
    x = 1,681,353.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.