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Finding the Third Proportional to 366,488 and 795,648

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Solution

The third proportional to 366,488 and 795,648 is: 1,727,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,488 : 795,648 = 795,648 : x
  2. Step 2: Convert to fraction form
    366,488/795,648 = 795,648/x
  3. Step 3: Cross multiply
    366,488x = 795,648 × 795,648
  4. Step 4: Simplify right side
    366,488x = 633,055,739,904
  5. Step 5: Solve for x
    x = 633,055,739,904/366,488
  6. Step 6: Final answer
    x = 1,727,357.35

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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.