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Finding the Third Proportional to 260,464 and 534,736

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Solution

The third proportional to 260,464 and 534,736 is: 1,097,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,464 : 534,736 = 534,736 : x
  2. Step 2: Convert to fraction form
    260,464/534,736 = 534,736/x
  3. Step 3: Cross multiply
    260,464x = 534,736 × 534,736
  4. Step 4: Simplify right side
    260,464x = 285,942,589,696
  5. Step 5: Solve for x
    x = 285,942,589,696/260,464
  6. Step 6: Final answer
    x = 1,097,820.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.