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Finding the Third Proportional to 410,744 and 610,092

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Solution

The third proportional to 410,744 and 610,092 is: 906,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,744 : 610,092 = 610,092 : x
  2. Step 2: Convert to fraction form
    410,744/610,092 = 610,092/x
  3. Step 3: Cross multiply
    410,744x = 610,092 × 610,092
  4. Step 4: Simplify right side
    410,744x = 372,212,248,464
  5. Step 5: Solve for x
    x = 372,212,248,464/410,744
  6. Step 6: Final answer
    x = 906,190.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.