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Finding the Third Proportional to 263,710.69 and 546,112.13

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Solution

The third proportional to 263,710.69 and 546,112.13 is: 1,130,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,710.69 : 546,112.13 = 546,112.13 : x
  2. Step 2: Convert to fraction form
    263,710.69/546,112.13 = 546,112.13/x
  3. Step 3: Cross multiply
    263,710.69x = 546,112.13 × 546,112.13
  4. Step 4: Simplify right side
    263,710.69x = 298,238,453,072.02
  5. Step 5: Solve for x
    x = 298,238,453,072.02/263,710.69
  6. Step 6: Final answer
    x = 1,130,930.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.