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Finding the Third Proportional to 501,403 and 776,759

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Solution

The third proportional to 501,403 and 776,759 is: 1,203,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,403 : 776,759 = 776,759 : x
  2. Step 2: Convert to fraction form
    501,403/776,759 = 776,759/x
  3. Step 3: Cross multiply
    501,403x = 776,759 × 776,759
  4. Step 4: Simplify right side
    501,403x = 603,354,544,081
  5. Step 5: Solve for x
    x = 603,354,544,081/501,403
  6. Step 6: Final answer
    x = 1,203,332.54

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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.