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Finding the Third Proportional to 525,728 and 743,894

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Solution

The third proportional to 525,728 and 743,894 is: 1,052,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,728 : 743,894 = 743,894 : x
  2. Step 2: Convert to fraction form
    525,728/743,894 = 743,894/x
  3. Step 3: Cross multiply
    525,728x = 743,894 × 743,894
  4. Step 4: Simplify right side
    525,728x = 553,378,283,236
  5. Step 5: Solve for x
    x = 553,378,283,236/525,728
  6. Step 6: Final answer
    x = 1,052,594.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.