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Finding the Third Proportional to 395,562 and 585,946

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Solution

The third proportional to 395,562 and 585,946 is: 867,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,562 : 585,946 = 585,946 : x
  2. Step 2: Convert to fraction form
    395,562/585,946 = 585,946/x
  3. Step 3: Cross multiply
    395,562x = 585,946 × 585,946
  4. Step 4: Simplify right side
    395,562x = 343,332,714,916
  5. Step 5: Solve for x
    x = 343,332,714,916/395,562
  6. Step 6: Final answer
    x = 867,961.82

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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.