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Finding the Third Proportional to 501,354 and 776,679

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Solution

The third proportional to 501,354 and 776,679 is: 1,203,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,354 : 776,679 = 776,679 : x
  2. Step 2: Convert to fraction form
    501,354/776,679 = 776,679/x
  3. Step 3: Cross multiply
    501,354x = 776,679 × 776,679
  4. Step 4: Simplify right side
    501,354x = 603,230,269,041
  5. Step 5: Solve for x
    x = 603,230,269,041/501,354
  6. Step 6: Final answer
    x = 1,203,202.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.