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Finding the Third Proportional to 280,222 and 446,104

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Solution

The third proportional to 280,222 and 446,104 is: 710,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,222 : 446,104 = 446,104 : x
  2. Step 2: Convert to fraction form
    280,222/446,104 = 446,104/x
  3. Step 3: Cross multiply
    280,222x = 446,104 × 446,104
  4. Step 4: Simplify right side
    280,222x = 199,008,778,816
  5. Step 5: Solve for x
    x = 199,008,778,816/280,222
  6. Step 6: Final answer
    x = 710,182.57

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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.