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Finding the Third Proportional to 275,040 and 437,642

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Solution

The third proportional to 275,040 and 437,642 is: 696,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,040 : 437,642 = 437,642 : x
  2. Step 2: Convert to fraction form
    275,040/437,642 = 437,642/x
  3. Step 3: Cross multiply
    275,040x = 437,642 × 437,642
  4. Step 4: Simplify right side
    275,040x = 191,530,520,164
  5. Step 5: Solve for x
    x = 191,530,520,164/275,040
  6. Step 6: Final answer
    x = 696,373.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.