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Finding the Third Proportional to 284,576 and 412,168

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Solution

The third proportional to 284,576 and 412,168 is: 596,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,576 : 412,168 = 412,168 : x
  2. Step 2: Convert to fraction form
    284,576/412,168 = 412,168/x
  3. Step 3: Cross multiply
    284,576x = 412,168 × 412,168
  4. Step 4: Simplify right side
    284,576x = 169,882,460,224
  5. Step 5: Solve for x
    x = 169,882,460,224/284,576
  6. Step 6: Final answer
    x = 596,966.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.