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Finding the Third Proportional to 304,754 and 464,866

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Solution

The third proportional to 304,754 and 464,866 is: 709,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,754 : 464,866 = 464,866 : x
  2. Step 2: Convert to fraction form
    304,754/464,866 = 464,866/x
  3. Step 3: Cross multiply
    304,754x = 464,866 × 464,866
  4. Step 4: Simplify right side
    304,754x = 216,100,397,956
  5. Step 5: Solve for x
    x = 216,100,397,956/304,754
  6. Step 6: Final answer
    x = 709,097.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.