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Finding the Third Proportional to 327,851.38 and 505,792.87

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Solution

The third proportional to 327,851.38 and 505,792.87 is: 780,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,851.38 : 505,792.87 = 505,792.87 : x
  2. Step 2: Convert to fraction form
    327,851.38/505,792.87 = 505,792.87/x
  3. Step 3: Cross multiply
    327,851.38x = 505,792.87 × 505,792.87
  4. Step 4: Simplify right side
    327,851.38x = 255,826,429,437.14
  5. Step 5: Solve for x
    x = 255,826,429,437.14/327,851.38
  6. Step 6: Final answer
    x = 780,312.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.