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Finding the Third Proportional to 327,451.13 and 715,775.25

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Solution

The third proportional to 327,451.13 and 715,775.25 is: 1,564,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,451.13 : 715,775.25 = 715,775.25 : x
  2. Step 2: Convert to fraction form
    327,451.13/715,775.25 = 715,775.25/x
  3. Step 3: Cross multiply
    327,451.13x = 715,775.25 × 715,775.25
  4. Step 4: Simplify right side
    327,451.13x = 512,334,208,512.56
  5. Step 5: Solve for x
    x = 512,334,208,512.56/327,451.13
  6. Step 6: Final answer
    x = 1,564,612.76

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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.