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Finding the Third Proportional to 268,752 and 388,491

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Solution

The third proportional to 268,752 and 388,491 is: 561,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,752 : 388,491 = 388,491 : x
  2. Step 2: Convert to fraction form
    268,752/388,491 = 388,491/x
  3. Step 3: Cross multiply
    268,752x = 388,491 × 388,491
  4. Step 4: Simplify right side
    268,752x = 150,925,257,081
  5. Step 5: Solve for x
    x = 150,925,257,081/268,752
  6. Step 6: Final answer
    x = 561,578.17

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.