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Finding the Third Proportional to 366,475 and 795,617

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Solution

The third proportional to 366,475 and 795,617 is: 1,727,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,475 : 795,617 = 795,617 : x
  2. Step 2: Convert to fraction form
    366,475/795,617 = 795,617/x
  3. Step 3: Cross multiply
    366,475x = 795,617 × 795,617
  4. Step 4: Simplify right side
    366,475x = 633,006,410,689
  5. Step 5: Solve for x
    x = 633,006,410,689/366,475
  6. Step 6: Final answer
    x = 1,727,284.02

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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.