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Finding the Third Proportional to 228,715.31 and 483,179.06

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Solution

The third proportional to 228,715.31 and 483,179.06 is: 1,020,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.31 : 483,179.06 = 483,179.06 : x
  2. Step 2: Convert to fraction form
    228,715.31/483,179.06 = 483,179.06/x
  3. Step 3: Cross multiply
    228,715.31x = 483,179.06 × 483,179.06
  4. Step 4: Simplify right side
    228,715.31x = 233,462,006,438.38
  5. Step 5: Solve for x
    x = 233,462,006,438.38/228,715.31
  6. Step 6: Final answer
    x = 1,020,753.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.