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Finding the Third Proportional to 327,445 and 723,712

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Solution

The third proportional to 327,445 and 723,712 is: 1,599,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,445 : 723,712 = 723,712 : x
  2. Step 2: Convert to fraction form
    327,445/723,712 = 723,712/x
  3. Step 3: Cross multiply
    327,445x = 723,712 × 723,712
  4. Step 4: Simplify right side
    327,445x = 523,759,058,944
  5. Step 5: Solve for x
    x = 523,759,058,944/327,445
  6. Step 6: Final answer
    x = 1,599,532.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.