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Finding the Third Proportional to 304,022 and 666,418

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Solution

The third proportional to 304,022 and 666,418 is: 1,460,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,022 : 666,418 = 666,418 : x
  2. Step 2: Convert to fraction form
    304,022/666,418 = 666,418/x
  3. Step 3: Cross multiply
    304,022x = 666,418 × 666,418
  4. Step 4: Simplify right side
    304,022x = 444,112,950,724
  5. Step 5: Solve for x
    x = 444,112,950,724/304,022
  6. Step 6: Final answer
    x = 1,460,792.15

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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.