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Finding the Third Proportional to 228,927 and 497,246

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Solution

The third proportional to 228,927 and 497,246 is: 1,080,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,927 : 497,246 = 497,246 : x
  2. Step 2: Convert to fraction form
    228,927/497,246 = 497,246/x
  3. Step 3: Cross multiply
    228,927x = 497,246 × 497,246
  4. Step 4: Simplify right side
    228,927x = 247,253,584,516
  5. Step 5: Solve for x
    x = 247,253,584,516/228,927
  6. Step 6: Final answer
    x = 1,080,054.27

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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.