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Finding the Third Proportional to 327,738 and 470,382

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Solution

The third proportional to 327,738 and 470,382 is: 675,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,738 : 470,382 = 470,382 : x
  2. Step 2: Convert to fraction form
    327,738/470,382 = 470,382/x
  3. Step 3: Cross multiply
    327,738x = 470,382 × 470,382
  4. Step 4: Simplify right side
    327,738x = 221,259,225,924
  5. Step 5: Solve for x
    x = 221,259,225,924/327,738
  6. Step 6: Final answer
    x = 675,110.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.