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Finding the Third Proportional to 395,564 and 585,949

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Solution

The third proportional to 395,564 and 585,949 is: 867,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,564 : 585,949 = 585,949 : x
  2. Step 2: Convert to fraction form
    395,564/585,949 = 585,949/x
  3. Step 3: Cross multiply
    395,564x = 585,949 × 585,949
  4. Step 4: Simplify right side
    395,564x = 343,336,230,601
  5. Step 5: Solve for x
    x = 343,336,230,601/395,564
  6. Step 6: Final answer
    x = 867,966.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.