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Finding the Third Proportional to 260,812.69 and 556,072.31

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Solution

The third proportional to 260,812.69 and 556,072.31 is: 1,185,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,812.69 : 556,072.31 = 556,072.31 : x
  2. Step 2: Convert to fraction form
    260,812.69/556,072.31 = 556,072.31/x
  3. Step 3: Cross multiply
    260,812.69x = 556,072.31 × 556,072.31
  4. Step 4: Simplify right side
    260,812.69x = 309,216,416,729.10
  5. Step 5: Solve for x
    x = 309,216,416,729.10/260,812.69
  6. Step 6: Final answer
    x = 1,185,588.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.