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Finding the Third Proportional to 491,224 and 758,544

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Solution

The third proportional to 491,224 and 758,544 is: 1,171,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224 : 758,544 = 758,544 : x
  2. Step 2: Convert to fraction form
    491,224/758,544 = 758,544/x
  3. Step 3: Cross multiply
    491,224x = 758,544 × 758,544
  4. Step 4: Simplify right side
    491,224x = 575,388,999,936
  5. Step 5: Solve for x
    x = 575,388,999,936/491,224
  6. Step 6: Final answer
    x = 1,171,337.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.