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Finding the Third Proportional to 327,088 and 716,384

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Solution

The third proportional to 327,088 and 716,384 is: 1,569,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,088 : 716,384 = 716,384 : x
  2. Step 2: Convert to fraction form
    327,088/716,384 = 716,384/x
  3. Step 3: Cross multiply
    327,088x = 716,384 × 716,384
  4. Step 4: Simplify right side
    327,088x = 513,206,035,456
  5. Step 5: Solve for x
    x = 513,206,035,456/327,088
  6. Step 6: Final answer
    x = 1,569,015.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.