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Finding the Third Proportional to 257,194.62 and 563,425.88

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Solution

The third proportional to 257,194.62 and 563,425.88 is: 1,234,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,194.62 : 563,425.88 = 563,425.88 : x
  2. Step 2: Convert to fraction form
    257,194.62/563,425.88 = 563,425.88/x
  3. Step 3: Cross multiply
    257,194.62x = 563,425.88 × 563,425.88
  4. Step 4: Simplify right side
    257,194.62x = 317,448,716,619.52
  5. Step 5: Solve for x
    x = 317,448,716,619.52/257,194.62
  6. Step 6: Final answer
    x = 1,234,274.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.