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Finding the Third Proportional to 280,928 and 601,224

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Solution

The third proportional to 280,928 and 601,224 is: 1,286,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,928 : 601,224 = 601,224 : x
  2. Step 2: Convert to fraction form
    280,928/601,224 = 601,224/x
  3. Step 3: Cross multiply
    280,928x = 601,224 × 601,224
  4. Step 4: Simplify right side
    280,928x = 361,470,298,176
  5. Step 5: Solve for x
    x = 361,470,298,176/280,928
  6. Step 6: Final answer
    x = 1,286,700.86

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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.