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Finding the Third Proportional to 399,741 and 615,048

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Solution

The third proportional to 399,741 and 615,048 is: 946,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,741 : 615,048 = 615,048 : x
  2. Step 2: Convert to fraction form
    399,741/615,048 = 615,048/x
  3. Step 3: Cross multiply
    399,741x = 615,048 × 615,048
  4. Step 4: Simplify right side
    399,741x = 378,284,042,304
  5. Step 5: Solve for x
    x = 378,284,042,304/399,741
  6. Step 6: Final answer
    x = 946,322.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.