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Finding the Third Proportional to 300,192 and 456,476

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Solution

The third proportional to 300,192 and 456,476 is: 694,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,192 : 456,476 = 456,476 : x
  2. Step 2: Convert to fraction form
    300,192/456,476 = 456,476/x
  3. Step 3: Cross multiply
    300,192x = 456,476 × 456,476
  4. Step 4: Simplify right side
    300,192x = 208,370,338,576
  5. Step 5: Solve for x
    x = 208,370,338,576/300,192
  6. Step 6: Final answer
    x = 694,123.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.