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Finding the Third Proportional to 297,597.38 and 642,238.88

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Solution

The third proportional to 297,597.38 and 642,238.88 is: 1,386,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,597.38 : 642,238.88 = 642,238.88 : x
  2. Step 2: Convert to fraction form
    297,597.38/642,238.88 = 642,238.88/x
  3. Step 3: Cross multiply
    297,597.38x = 642,238.88 × 642,238.88
  4. Step 4: Simplify right side
    297,597.38x = 412,470,772,561.27
  5. Step 5: Solve for x
    x = 412,470,772,561.27/297,597.38
  6. Step 6: Final answer
    x = 1,386,002.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.