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Finding the Third Proportional to 227,745 and 493,047

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Solution

The third proportional to 227,745 and 493,047 is: 1,067,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,745 : 493,047 = 493,047 : x
  2. Step 2: Convert to fraction form
    227,745/493,047 = 493,047/x
  3. Step 3: Cross multiply
    227,745x = 493,047 × 493,047
  4. Step 4: Simplify right side
    227,745x = 243,095,344,209
  5. Step 5: Solve for x
    x = 243,095,344,209/227,745
  6. Step 6: Final answer
    x = 1,067,401.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.