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Finding the Third Proportional to 535,888 and 727,824

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Solution

The third proportional to 535,888 and 727,824 is: 988,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,888 : 727,824 = 727,824 : x
  2. Step 2: Convert to fraction form
    535,888/727,824 = 727,824/x
  3. Step 3: Cross multiply
    535,888x = 727,824 × 727,824
  4. Step 4: Simplify right side
    535,888x = 529,727,774,976
  5. Step 5: Solve for x
    x = 529,727,774,976/535,888
  6. Step 6: Final answer
    x = 988,504.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.