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Finding the Third Proportional to 346,950 and 739,705

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Solution

The third proportional to 346,950 and 739,705 is: 1,577,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,950 : 739,705 = 739,705 : x
  2. Step 2: Convert to fraction form
    346,950/739,705 = 739,705/x
  3. Step 3: Cross multiply
    346,950x = 739,705 × 739,705
  4. Step 4: Simplify right side
    346,950x = 547,163,487,025
  5. Step 5: Solve for x
    x = 547,163,487,025/346,950
  6. Step 6: Final answer
    x = 1,577,067.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.