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Finding the Third Proportional to 228,240 and 508,932

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Solution

The third proportional to 228,240 and 508,932 is: 1,134,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,240 : 508,932 = 508,932 : x
  2. Step 2: Convert to fraction form
    228,240/508,932 = 508,932/x
  3. Step 3: Cross multiply
    228,240x = 508,932 × 508,932
  4. Step 4: Simplify right side
    228,240x = 259,011,780,624
  5. Step 5: Solve for x
    x = 259,011,780,624/228,240
  6. Step 6: Final answer
    x = 1,134,822.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.