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Finding the Third Proportional to 228,692 and 509,840

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Solution

The third proportional to 228,692 and 509,840 is: 1,136,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,692 : 509,840 = 509,840 : x
  2. Step 2: Convert to fraction form
    228,692/509,840 = 509,840/x
  3. Step 3: Cross multiply
    228,692x = 509,840 × 509,840
  4. Step 4: Simplify right side
    228,692x = 259,936,825,600
  5. Step 5: Solve for x
    x = 259,936,825,600/228,692
  6. Step 6: Final answer
    x = 1,136,624.04

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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.