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Finding the Third Proportional to 366,984 and 561,419

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Solution

The third proportional to 366,984 and 561,419 is: 858,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 561,419 = 561,419 : x
  2. Step 2: Convert to fraction form
    366,984/561,419 = 561,419/x
  3. Step 3: Cross multiply
    366,984x = 561,419 × 561,419
  4. Step 4: Simplify right side
    366,984x = 315,191,293,561
  5. Step 5: Solve for x
    x = 315,191,293,561/366,984
  6. Step 6: Final answer
    x = 858,869.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.