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Finding the Third Proportional to 525,754 and 787,744

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Solution

The third proportional to 525,754 and 787,744 is: 1,180,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,754 : 787,744 = 787,744 : x
  2. Step 2: Convert to fraction form
    525,754/787,744 = 787,744/x
  3. Step 3: Cross multiply
    525,754x = 787,744 × 787,744
  4. Step 4: Simplify right side
    525,754x = 620,540,609,536
  5. Step 5: Solve for x
    x = 620,540,609,536/525,754
  6. Step 6: Final answer
    x = 1,180,287.00

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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.