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Finding the Third Proportional to 499,567 and 741,628

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Solution

The third proportional to 499,567 and 741,628 is: 1,100,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,567 : 741,628 = 741,628 : x
  2. Step 2: Convert to fraction form
    499,567/741,628 = 741,628/x
  3. Step 3: Cross multiply
    499,567x = 741,628 × 741,628
  4. Step 4: Simplify right side
    499,567x = 550,012,090,384
  5. Step 5: Solve for x
    x = 550,012,090,384/499,567
  6. Step 6: Final answer
    x = 1,100,977.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.