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Finding the Third Proportional to 226,998 and 493,308

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Solution

The third proportional to 226,998 and 493,308 is: 1,072,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,998 : 493,308 = 493,308 : x
  2. Step 2: Convert to fraction form
    226,998/493,308 = 493,308/x
  3. Step 3: Cross multiply
    226,998x = 493,308 × 493,308
  4. Step 4: Simplify right side
    226,998x = 243,352,782,864
  5. Step 5: Solve for x
    x = 243,352,782,864/226,998
  6. Step 6: Final answer
    x = 1,072,048.14

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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.