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Finding the Third Proportional to 412,924.50 and 638,206

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Solution

The third proportional to 412,924.50 and 638,206 is: 986,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,924.50 : 638,206 = 638,206 : x
  2. Step 2: Convert to fraction form
    412,924.50/638,206 = 638,206/x
  3. Step 3: Cross multiply
    412,924.50x = 638,206 × 638,206
  4. Step 4: Simplify right side
    412,924.50x = 407,306,898,436
  5. Step 5: Solve for x
    x = 407,306,898,436/412,924.50
  6. Step 6: Final answer
    x = 986,395.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.