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Finding the Third Proportional to 241,580 and 520,096

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Solution

The third proportional to 241,580 and 520,096 is: 1,119,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,580 : 520,096 = 520,096 : x
  2. Step 2: Convert to fraction form
    241,580/520,096 = 520,096/x
  3. Step 3: Cross multiply
    241,580x = 520,096 × 520,096
  4. Step 4: Simplify right side
    241,580x = 270,499,849,216
  5. Step 5: Solve for x
    x = 270,499,849,216/241,580
  6. Step 6: Final answer
    x = 1,119,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.