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Finding the Third Proportional to 280,268 and 402,906

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Solution

The third proportional to 280,268 and 402,906 is: 579,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,268 : 402,906 = 402,906 : x
  2. Step 2: Convert to fraction form
    280,268/402,906 = 402,906/x
  3. Step 3: Cross multiply
    280,268x = 402,906 × 402,906
  4. Step 4: Simplify right side
    280,268x = 162,333,244,836
  5. Step 5: Solve for x
    x = 162,333,244,836/280,268
  6. Step 6: Final answer
    x = 579,207.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.