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Finding the Third Proportional to 245,080.69 and 534,516.47

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Solution

The third proportional to 245,080.69 and 534,516.47 is: 1,165,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,080.69 : 534,516.47 = 534,516.47 : x
  2. Step 2: Convert to fraction form
    245,080.69/534,516.47 = 534,516.47/x
  3. Step 3: Cross multiply
    245,080.69x = 534,516.47 × 534,516.47
  4. Step 4: Simplify right side
    245,080.69x = 285,707,855,364.97
  5. Step 5: Solve for x
    x = 285,707,855,364.97/245,080.69
  6. Step 6: Final answer
    x = 1,165,770.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.