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Finding the Third Proportional to 525,136 and 787,512

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Solution

The third proportional to 525,136 and 787,512 is: 1,180,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,136 : 787,512 = 787,512 : x
  2. Step 2: Convert to fraction form
    525,136/787,512 = 787,512/x
  3. Step 3: Cross multiply
    525,136x = 787,512 × 787,512
  4. Step 4: Simplify right side
    525,136x = 620,175,150,144
  5. Step 5: Solve for x
    x = 620,175,150,144/525,136
  6. Step 6: Final answer
    x = 1,180,980.07

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Why These Related Problems?

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