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Finding the Third Proportional to 227,043 and 493,386

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Solution

The third proportional to 227,043 and 493,386 is: 1,072,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,043 : 493,386 = 493,386 : x
  2. Step 2: Convert to fraction form
    227,043/493,386 = 493,386/x
  3. Step 3: Cross multiply
    227,043x = 493,386 × 493,386
  4. Step 4: Simplify right side
    227,043x = 243,429,744,996
  5. Step 5: Solve for x
    x = 243,429,744,996/227,043
  6. Step 6: Final answer
    x = 1,072,174.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.