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Finding the Third Proportional to 501,552 and 769,824

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Solution

The third proportional to 501,552 and 769,824 is: 1,181,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,552 : 769,824 = 769,824 : x
  2. Step 2: Convert to fraction form
    501,552/769,824 = 769,824/x
  3. Step 3: Cross multiply
    501,552x = 769,824 × 769,824
  4. Step 4: Simplify right side
    501,552x = 592,628,990,976
  5. Step 5: Solve for x
    x = 592,628,990,976/501,552
  6. Step 6: Final answer
    x = 1,181,590.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.