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Finding the Third Proportional to 304,764 and 668,586

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Solution

The third proportional to 304,764 and 668,586 is: 1,466,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,764 : 668,586 = 668,586 : x
  2. Step 2: Convert to fraction form
    304,764/668,586 = 668,586/x
  3. Step 3: Cross multiply
    304,764x = 668,586 × 668,586
  4. Step 4: Simplify right side
    304,764x = 447,007,239,396
  5. Step 5: Solve for x
    x = 447,007,239,396/304,764
  6. Step 6: Final answer
    x = 1,466,732.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.