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Finding the Third Proportional to 263,112 and 570,576

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Solution

The third proportional to 263,112 and 570,576 is: 1,237,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,112 : 570,576 = 570,576 : x
  2. Step 2: Convert to fraction form
    263,112/570,576 = 570,576/x
  3. Step 3: Cross multiply
    263,112x = 570,576 × 570,576
  4. Step 4: Simplify right side
    263,112x = 325,556,971,776
  5. Step 5: Solve for x
    x = 325,556,971,776/263,112
  6. Step 6: Final answer
    x = 1,237,332.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.