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Finding the Third Proportional to 293,001 and 621,974

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Solution

The third proportional to 293,001 and 621,974 is: 1,320,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,001 : 621,974 = 621,974 : x
  2. Step 2: Convert to fraction form
    293,001/621,974 = 621,974/x
  3. Step 3: Cross multiply
    293,001x = 621,974 × 621,974
  4. Step 4: Simplify right side
    293,001x = 386,851,656,676
  5. Step 5: Solve for x
    x = 386,851,656,676/293,001
  6. Step 6: Final answer
    x = 1,320,308.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.