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Finding the Third Proportional to 325,935 and 438,601.50

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Solution

The third proportional to 325,935 and 438,601.50 is: 590,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,935 : 438,601.50 = 438,601.50 : x
  2. Step 2: Convert to fraction form
    325,935/438,601.50 = 438,601.50/x
  3. Step 3: Cross multiply
    325,935x = 438,601.50 × 438,601.50
  4. Step 4: Simplify right side
    325,935x = 192,371,275,802.25
  5. Step 5: Solve for x
    x = 192,371,275,802.25/325,935
  6. Step 6: Final answer
    x = 590,213.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.