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Finding the Third Proportional to 327,859.13 and 705,541.13

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Solution

The third proportional to 327,859.13 and 705,541.13 is: 1,518,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,859.13 : 705,541.13 = 705,541.13 : x
  2. Step 2: Convert to fraction form
    327,859.13/705,541.13 = 705,541.13/x
  3. Step 3: Cross multiply
    327,859.13x = 705,541.13 × 705,541.13
  4. Step 4: Simplify right side
    327,859.13x = 497,788,279,066.27
  5. Step 5: Solve for x
    x = 497,788,279,066.27/327,859.13
  6. Step 6: Final answer
    x = 1,518,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.