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Finding the Third Proportional to 187,483 and 412,488

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Solution

The third proportional to 187,483 and 412,488 is: 907,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,483 : 412,488 = 412,488 : x
  2. Step 2: Convert to fraction form
    187,483/412,488 = 412,488/x
  3. Step 3: Cross multiply
    187,483x = 412,488 × 412,488
  4. Step 4: Simplify right side
    187,483x = 170,146,350,144
  5. Step 5: Solve for x
    x = 170,146,350,144/187,483
  6. Step 6: Final answer
    x = 907,529.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.