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Finding the Third Proportional to 229,800 and 496,494

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Solution

The third proportional to 229,800 and 496,494 is: 1,072,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,800 : 496,494 = 496,494 : x
  2. Step 2: Convert to fraction form
    229,800/496,494 = 496,494/x
  3. Step 3: Cross multiply
    229,800x = 496,494 × 496,494
  4. Step 4: Simplify right side
    229,800x = 246,506,292,036
  5. Step 5: Solve for x
    x = 246,506,292,036/229,800
  6. Step 6: Final answer
    x = 1,072,699.27

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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.