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Finding the Third Proportional to 605,702 and 882,258

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Solution

The third proportional to 605,702 and 882,258 is: 1,285,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,702 : 882,258 = 882,258 : x
  2. Step 2: Convert to fraction form
    605,702/882,258 = 882,258/x
  3. Step 3: Cross multiply
    605,702x = 882,258 × 882,258
  4. Step 4: Simplify right side
    605,702x = 778,379,178,564
  5. Step 5: Solve for x
    x = 778,379,178,564/605,702
  6. Step 6: Final answer
    x = 1,285,086.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.