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Finding the Third Proportional to 401,854.50 and 545,754.38

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Solution

The third proportional to 401,854.50 and 545,754.38 is: 741,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,854.50 : 545,754.38 = 545,754.38 : x
  2. Step 2: Convert to fraction form
    401,854.50/545,754.38 = 545,754.38/x
  3. Step 3: Cross multiply
    401,854.50x = 545,754.38 × 545,754.38
  4. Step 4: Simplify right side
    401,854.50x = 297,847,837,831.64
  5. Step 5: Solve for x
    x = 297,847,837,831.64/401,854.50
  6. Step 6: Final answer
    x = 741,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.