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Finding the Third Proportional to 284,574 and 412,170

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Solution

The third proportional to 284,574 and 412,170 is: 596,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,574 : 412,170 = 412,170 : x
  2. Step 2: Convert to fraction form
    284,574/412,170 = 412,170/x
  3. Step 3: Cross multiply
    284,574x = 412,170 × 412,170
  4. Step 4: Simplify right side
    284,574x = 169,884,108,900
  5. Step 5: Solve for x
    x = 169,884,108,900/284,574
  6. Step 6: Final answer
    x = 596,976.92

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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.