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Finding the Third Proportional to 291,924 and 439,974

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Solution

The third proportional to 291,924 and 439,974 is: 663,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,924 : 439,974 = 439,974 : x
  2. Step 2: Convert to fraction form
    291,924/439,974 = 439,974/x
  3. Step 3: Cross multiply
    291,924x = 439,974 × 439,974
  4. Step 4: Simplify right side
    291,924x = 193,577,120,676
  5. Step 5: Solve for x
    x = 193,577,120,676/291,924
  6. Step 6: Final answer
    x = 663,107.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.