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Finding the Third Proportional to 227,943 and 496,023

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Solution

The third proportional to 227,943 and 496,023 is: 1,079,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,943 : 496,023 = 496,023 : x
  2. Step 2: Convert to fraction form
    227,943/496,023 = 496,023/x
  3. Step 3: Cross multiply
    227,943x = 496,023 × 496,023
  4. Step 4: Simplify right side
    227,943x = 246,038,816,529
  5. Step 5: Solve for x
    x = 246,038,816,529/227,943
  6. Step 6: Final answer
    x = 1,079,387.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.