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Finding the Third Proportional to 228,942 and 497,295

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Solution

The third proportional to 228,942 and 497,295 is: 1,080,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,942 : 497,295 = 497,295 : x
  2. Step 2: Convert to fraction form
    228,942/497,295 = 497,295/x
  3. Step 3: Cross multiply
    228,942x = 497,295 × 497,295
  4. Step 4: Simplify right side
    228,942x = 247,302,317,025
  5. Step 5: Solve for x
    x = 247,302,317,025/228,942
  6. Step 6: Final answer
    x = 1,080,196.37

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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.