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Finding the Third Proportional to 187,498.50 and 412,518

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Solution

The third proportional to 187,498.50 and 412,518 is: 907,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,498.50 : 412,518 = 412,518 : x
  2. Step 2: Convert to fraction form
    187,498.50/412,518 = 412,518/x
  3. Step 3: Cross multiply
    187,498.50x = 412,518 × 412,518
  4. Step 4: Simplify right side
    187,498.50x = 170,171,100,324
  5. Step 5: Solve for x
    x = 170,171,100,324/187,498.50
  6. Step 6: Final answer
    x = 907,586.46

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