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Finding the Third Proportional to 325,464 and 666,784

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Solution

The third proportional to 325,464 and 666,784 is: 1,366,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,464 : 666,784 = 666,784 : x
  2. Step 2: Convert to fraction form
    325,464/666,784 = 666,784/x
  3. Step 3: Cross multiply
    325,464x = 666,784 × 666,784
  4. Step 4: Simplify right side
    325,464x = 444,600,902,656
  5. Step 5: Solve for x
    x = 444,600,902,656/325,464
  6. Step 6: Final answer
    x = 1,366,052.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.