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Finding the Third Proportional to 229,239 and 497,889

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Solution

The third proportional to 229,239 and 497,889 is: 1,081,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,239 : 497,889 = 497,889 : x
  2. Step 2: Convert to fraction form
    229,239/497,889 = 497,889/x
  3. Step 3: Cross multiply
    229,239x = 497,889 × 497,889
  4. Step 4: Simplify right side
    229,239x = 247,893,456,321
  5. Step 5: Solve for x
    x = 247,893,456,321/229,239
  6. Step 6: Final answer
    x = 1,081,375.58

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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.