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Finding the Third Proportional to 358,152.57 and 541,840.64

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Solution

The third proportional to 358,152.57 and 541,840.64 is: 819,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,152.57 : 541,840.64 = 541,840.64 : x
  2. Step 2: Convert to fraction form
    358,152.57/541,840.64 = 541,840.64/x
  3. Step 3: Cross multiply
    358,152.57x = 541,840.64 × 541,840.64
  4. Step 4: Simplify right side
    358,152.57x = 293,591,279,832.91
  5. Step 5: Solve for x
    x = 293,591,279,832.91/358,152.57
  6. Step 6: Final answer
    x = 819,738.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.