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Finding the Third Proportional to 499,580 and 761,884

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Solution

The third proportional to 499,580 and 761,884 is: 1,161,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,580 : 761,884 = 761,884 : x
  2. Step 2: Convert to fraction form
    499,580/761,884 = 761,884/x
  3. Step 3: Cross multiply
    499,580x = 761,884 × 761,884
  4. Step 4: Simplify right side
    499,580x = 580,467,229,456
  5. Step 5: Solve for x
    x = 580,467,229,456/499,580
  6. Step 6: Final answer
    x = 1,161,910.46

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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.