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Finding the Third Proportional to 228,544 and 491,424

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Solution

The third proportional to 228,544 and 491,424 is: 1,056,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,544 : 491,424 = 491,424 : x
  2. Step 2: Convert to fraction form
    228,544/491,424 = 491,424/x
  3. Step 3: Cross multiply
    228,544x = 491,424 × 491,424
  4. Step 4: Simplify right side
    228,544x = 241,497,547,776
  5. Step 5: Solve for x
    x = 241,497,547,776/228,544
  6. Step 6: Final answer
    x = 1,056,678.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.