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Finding the Third Proportional to 343,817 and 746,798

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Solution

The third proportional to 343,817 and 746,798 is: 1,622,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,817 : 746,798 = 746,798 : x
  2. Step 2: Convert to fraction form
    343,817/746,798 = 746,798/x
  3. Step 3: Cross multiply
    343,817x = 746,798 × 746,798
  4. Step 4: Simplify right side
    343,817x = 557,707,252,804
  5. Step 5: Solve for x
    x = 557,707,252,804/343,817
  6. Step 6: Final answer
    x = 1,622,104.94

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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.