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Finding the Third Proportional to 346,962 and 721,626

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Solution

The third proportional to 346,962 and 721,626 is: 1,500,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,962 : 721,626 = 721,626 : x
  2. Step 2: Convert to fraction form
    346,962/721,626 = 721,626/x
  3. Step 3: Cross multiply
    346,962x = 721,626 × 721,626
  4. Step 4: Simplify right side
    346,962x = 520,744,083,876
  5. Step 5: Solve for x
    x = 520,744,083,876/346,962
  6. Step 6: Final answer
    x = 1,500,867.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.