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Finding the Third Proportional to 374,566 and 547,833

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Solution

The third proportional to 374,566 and 547,833 is: 801,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,566 : 547,833 = 547,833 : x
  2. Step 2: Convert to fraction form
    374,566/547,833 = 547,833/x
  3. Step 3: Cross multiply
    374,566x = 547,833 × 547,833
  4. Step 4: Simplify right side
    374,566x = 300,120,995,889
  5. Step 5: Solve for x
    x = 300,120,995,889/374,566
  6. Step 6: Final answer
    x = 801,249.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.