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Finding the Third Proportional to 229,796 and 496,486

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Solution

The third proportional to 229,796 and 496,486 is: 1,072,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,796 : 496,486 = 496,486 : x
  2. Step 2: Convert to fraction form
    229,796/496,486 = 496,486/x
  3. Step 3: Cross multiply
    229,796x = 496,486 × 496,486
  4. Step 4: Simplify right side
    229,796x = 246,498,348,196
  5. Step 5: Solve for x
    x = 246,498,348,196/229,796
  6. Step 6: Final answer
    x = 1,072,683.37

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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.