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Finding the Third Proportional to 263,114 and 570,580

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Solution

The third proportional to 263,114 and 570,580 is: 1,237,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,114 : 570,580 = 570,580 : x
  2. Step 2: Convert to fraction form
    263,114/570,580 = 570,580/x
  3. Step 3: Cross multiply
    263,114x = 570,580 × 570,580
  4. Step 4: Simplify right side
    263,114x = 325,561,536,400
  5. Step 5: Solve for x
    x = 325,561,536,400/263,114
  6. Step 6: Final answer
    x = 1,237,340.23

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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.