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Finding the Third Proportional to 304,068 and 476,988

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Solution

The third proportional to 304,068 and 476,988 is: 748,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,068 : 476,988 = 476,988 : x
  2. Step 2: Convert to fraction form
    304,068/476,988 = 476,988/x
  3. Step 3: Cross multiply
    304,068x = 476,988 × 476,988
  4. Step 4: Simplify right side
    304,068x = 227,517,552,144
  5. Step 5: Solve for x
    x = 227,517,552,144/304,068
  6. Step 6: Final answer
    x = 748,245.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.