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Finding the Third Proportional to 280,870 and 601,268

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Solution

The third proportional to 280,870 and 601,268 is: 1,287,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,870 : 601,268 = 601,268 : x
  2. Step 2: Convert to fraction form
    280,870/601,268 = 601,268/x
  3. Step 3: Cross multiply
    280,870x = 601,268 × 601,268
  4. Step 4: Simplify right side
    280,870x = 361,523,207,824
  5. Step 5: Solve for x
    x = 361,523,207,824/280,870
  6. Step 6: Final answer
    x = 1,287,154.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.