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Finding the Third Proportional to 327,058 and 706,612

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Solution

The third proportional to 327,058 and 706,612 is: 1,526,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,058 : 706,612 = 706,612 : x
  2. Step 2: Convert to fraction form
    327,058/706,612 = 706,612/x
  3. Step 3: Cross multiply
    327,058x = 706,612 × 706,612
  4. Step 4: Simplify right side
    327,058x = 499,300,518,544
  5. Step 5: Solve for x
    x = 499,300,518,544/327,058
  6. Step 6: Final answer
    x = 1,526,642.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.