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Finding the Third Proportional to 525,768 and 787,761

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Solution

The third proportional to 525,768 and 787,761 is: 1,180,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,768 : 787,761 = 787,761 : x
  2. Step 2: Convert to fraction form
    525,768/787,761 = 787,761/x
  3. Step 3: Cross multiply
    525,768x = 787,761 × 787,761
  4. Step 4: Simplify right side
    525,768x = 620,567,393,121
  5. Step 5: Solve for x
    x = 620,567,393,121/525,768
  6. Step 6: Final answer
    x = 1,180,306.51

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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.