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Finding the Third Proportional to 280,664 and 601,176

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Solution

The third proportional to 280,664 and 601,176 is: 1,287,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,664 : 601,176 = 601,176 : x
  2. Step 2: Convert to fraction form
    280,664/601,176 = 601,176/x
  3. Step 3: Cross multiply
    280,664x = 601,176 × 601,176
  4. Step 4: Simplify right side
    280,664x = 361,412,582,976
  5. Step 5: Solve for x
    x = 361,412,582,976/280,664
  6. Step 6: Final answer
    x = 1,287,705.52

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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.