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Finding the Third Proportional to 568,251 and 882,258

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Solution

The third proportional to 568,251 and 882,258 is: 1,369,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,251 : 882,258 = 882,258 : x
  2. Step 2: Convert to fraction form
    568,251/882,258 = 882,258/x
  3. Step 3: Cross multiply
    568,251x = 882,258 × 882,258
  4. Step 4: Simplify right side
    568,251x = 778,379,178,564
  5. Step 5: Solve for x
    x = 778,379,178,564/568,251
  6. Step 6: Final answer
    x = 1,369,780.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.