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Finding the Third Proportional to 501,330 and 776,652

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Solution

The third proportional to 501,330 and 776,652 is: 1,203,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,330 : 776,652 = 776,652 : x
  2. Step 2: Convert to fraction form
    501,330/776,652 = 776,652/x
  3. Step 3: Cross multiply
    501,330x = 776,652 × 776,652
  4. Step 4: Simplify right side
    501,330x = 603,188,329,104
  5. Step 5: Solve for x
    x = 603,188,329,104/501,330
  6. Step 6: Final answer
    x = 1,203,176.21

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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.