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Finding the Third Proportional to 263,106 and 570,564

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Solution

The third proportional to 263,106 and 570,564 is: 1,237,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,106 : 570,564 = 570,564 : x
  2. Step 2: Convert to fraction form
    263,106/570,564 = 570,564/x
  3. Step 3: Cross multiply
    263,106x = 570,564 × 570,564
  4. Step 4: Simplify right side
    263,106x = 325,543,278,096
  5. Step 5: Solve for x
    x = 325,543,278,096/263,106
  6. Step 6: Final answer
    x = 1,237,308.45

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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.