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Finding the Third Proportional to 395,555.50 and 585,935

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Solution

The third proportional to 395,555.50 and 585,935 is: 867,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,555.50 : 585,935 = 585,935 : x
  2. Step 2: Convert to fraction form
    395,555.50/585,935 = 585,935/x
  3. Step 3: Cross multiply
    395,555.50x = 585,935 × 585,935
  4. Step 4: Simplify right side
    395,555.50x = 343,319,824,225
  5. Step 5: Solve for x
    x = 343,319,824,225/395,555.50
  6. Step 6: Final answer
    x = 867,943.50

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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.