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Finding the Third Proportional to 227,628 and 344,573

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Solution

The third proportional to 227,628 and 344,573 is: 521,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,628 : 344,573 = 344,573 : x
  2. Step 2: Convert to fraction form
    227,628/344,573 = 344,573/x
  3. Step 3: Cross multiply
    227,628x = 344,573 × 344,573
  4. Step 4: Simplify right side
    227,628x = 118,730,552,329
  5. Step 5: Solve for x
    x = 118,730,552,329/227,628
  6. Step 6: Final answer
    x = 521,599.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.