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Finding the Third Proportional to 519,824 and 783,577

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Solution

The third proportional to 519,824 and 783,577 is: 1,181,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,824 : 783,577 = 783,577 : x
  2. Step 2: Convert to fraction form
    519,824/783,577 = 783,577/x
  3. Step 3: Cross multiply
    519,824x = 783,577 × 783,577
  4. Step 4: Simplify right side
    519,824x = 613,992,914,929
  5. Step 5: Solve for x
    x = 613,992,914,929/519,824
  6. Step 6: Final answer
    x = 1,181,155.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.