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Finding the Third Proportional to 524,752 and 787,512

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Solution

The third proportional to 524,752 and 787,512 is: 1,181,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,752 : 787,512 = 787,512 : x
  2. Step 2: Convert to fraction form
    524,752/787,512 = 787,512/x
  3. Step 3: Cross multiply
    524,752x = 787,512 × 787,512
  4. Step 4: Simplify right side
    524,752x = 620,175,150,144
  5. Step 5: Solve for x
    x = 620,175,150,144/524,752
  6. Step 6: Final answer
    x = 1,181,844.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.