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Finding the Third Proportional to 525,764 and 787,750

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Solution

The third proportional to 525,764 and 787,750 is: 1,180,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,764 : 787,750 = 787,750 : x
  2. Step 2: Convert to fraction form
    525,764/787,750 = 787,750/x
  3. Step 3: Cross multiply
    525,764x = 787,750 × 787,750
  4. Step 4: Simplify right side
    525,764x = 620,550,062,500
  5. Step 5: Solve for x
    x = 620,550,062,500/525,764
  6. Step 6: Final answer
    x = 1,180,282.53

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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.