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Finding the Third Proportional to 340,888 and 743,983

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Solution

The third proportional to 340,888 and 743,983 is: 1,623,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,888 : 743,983 = 743,983 : x
  2. Step 2: Convert to fraction form
    340,888/743,983 = 743,983/x
  3. Step 3: Cross multiply
    340,888x = 743,983 × 743,983
  4. Step 4: Simplify right side
    340,888x = 553,510,704,289
  5. Step 5: Solve for x
    x = 553,510,704,289/340,888
  6. Step 6: Final answer
    x = 1,623,731.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.