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Finding the Third Proportional to 303,125.63 and 441,343.69

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Solution

The third proportional to 303,125.63 and 441,343.69 is: 642,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,125.63 : 441,343.69 = 441,343.69 : x
  2. Step 2: Convert to fraction form
    303,125.63/441,343.69 = 441,343.69/x
  3. Step 3: Cross multiply
    303,125.63x = 441,343.69 × 441,343.69
  4. Step 4: Simplify right side
    303,125.63x = 194,784,250,496.10
  5. Step 5: Solve for x
    x = 194,784,250,496.10/303,125.63
  6. Step 6: Final answer
    x = 642,585.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.