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Finding the Third Proportional to 228,964 and 497,338

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Solution

The third proportional to 228,964 and 497,338 is: 1,080,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,964 : 497,338 = 497,338 : x
  2. Step 2: Convert to fraction form
    228,964/497,338 = 497,338/x
  3. Step 3: Cross multiply
    228,964x = 497,338 × 497,338
  4. Step 4: Simplify right side
    228,964x = 247,345,086,244
  5. Step 5: Solve for x
    x = 247,345,086,244/228,964
  6. Step 6: Final answer
    x = 1,080,279.37

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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.