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Finding the Third Proportional to 364,226.63 and 792,250.88

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Solution

The third proportional to 364,226.63 and 792,250.88 is: 1,723,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,226.63 : 792,250.88 = 792,250.88 : x
  2. Step 2: Convert to fraction form
    364,226.63/792,250.88 = 792,250.88/x
  3. Step 3: Cross multiply
    364,226.63x = 792,250.88 × 792,250.88
  4. Step 4: Simplify right side
    364,226.63x = 627,661,448,938.27
  5. Step 5: Solve for x
    x = 627,661,448,938.27/364,226.63
  6. Step 6: Final answer
    x = 1,723,271.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.