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Finding the Third Proportional to 304,656 and 486,504

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Solution

The third proportional to 304,656 and 486,504 is: 776,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,656 : 486,504 = 486,504 : x
  2. Step 2: Convert to fraction form
    304,656/486,504 = 486,504/x
  3. Step 3: Cross multiply
    304,656x = 486,504 × 486,504
  4. Step 4: Simplify right side
    304,656x = 236,686,142,016
  5. Step 5: Solve for x
    x = 236,686,142,016/304,656
  6. Step 6: Final answer
    x = 776,896.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.