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Finding the Third Proportional to 508,824 and 791,253

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Solution

The third proportional to 508,824 and 791,253 is: 1,230,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,824 : 791,253 = 791,253 : x
  2. Step 2: Convert to fraction form
    508,824/791,253 = 791,253/x
  3. Step 3: Cross multiply
    508,824x = 791,253 × 791,253
  4. Step 4: Simplify right side
    508,824x = 626,081,310,009
  5. Step 5: Solve for x
    x = 626,081,310,009/508,824
  6. Step 6: Final answer
    x = 1,230,447.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.