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Finding the Third Proportional to 366,471 and 795,609

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Solution

The third proportional to 366,471 and 795,609 is: 1,727,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,471 : 795,609 = 795,609 : x
  2. Step 2: Convert to fraction form
    366,471/795,609 = 795,609/x
  3. Step 3: Cross multiply
    366,471x = 795,609 × 795,609
  4. Step 4: Simplify right side
    366,471x = 632,993,680,881
  5. Step 5: Solve for x
    x = 632,993,680,881/366,471
  6. Step 6: Final answer
    x = 1,727,268.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.