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Finding the Third Proportional to 339,444 and 746,658

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Solution

The third proportional to 339,444 and 746,658 is: 1,642,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,444 : 746,658 = 746,658 : x
  2. Step 2: Convert to fraction form
    339,444/746,658 = 746,658/x
  3. Step 3: Cross multiply
    339,444x = 746,658 × 746,658
  4. Step 4: Simplify right side
    339,444x = 557,498,168,964
  5. Step 5: Solve for x
    x = 557,498,168,964/339,444
  6. Step 6: Final answer
    x = 1,642,386.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.