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Finding the Third Proportional to 379,264 and 508,896

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Solution

The third proportional to 379,264 and 508,896 is: 682,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,264 : 508,896 = 508,896 : x
  2. Step 2: Convert to fraction form
    379,264/508,896 = 508,896/x
  3. Step 3: Cross multiply
    379,264x = 508,896 × 508,896
  4. Step 4: Simplify right side
    379,264x = 258,975,138,816
  5. Step 5: Solve for x
    x = 258,975,138,816/379,264
  6. Step 6: Final answer
    x = 682,836.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.