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Finding the Third Proportional to 295,215 and 469,974

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Solution

The third proportional to 295,215 and 469,974 is: 748,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,215 : 469,974 = 469,974 : x
  2. Step 2: Convert to fraction form
    295,215/469,974 = 469,974/x
  3. Step 3: Cross multiply
    295,215x = 469,974 × 469,974
  4. Step 4: Simplify right side
    295,215x = 220,875,560,676
  5. Step 5: Solve for x
    x = 220,875,560,676/295,215
  6. Step 6: Final answer
    x = 748,185.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.