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Finding the Third Proportional to 269,700 and 589,224

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Solution

The third proportional to 269,700 and 589,224 is: 1,287,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,700 : 589,224 = 589,224 : x
  2. Step 2: Convert to fraction form
    269,700/589,224 = 589,224/x
  3. Step 3: Cross multiply
    269,700x = 589,224 × 589,224
  4. Step 4: Simplify right side
    269,700x = 347,184,922,176
  5. Step 5: Solve for x
    x = 347,184,922,176/269,700
  6. Step 6: Final answer
    x = 1,287,300.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.