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Finding the Third Proportional to 232,974 and 369,477

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Solution

The third proportional to 232,974 and 369,477 is: 585,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,974 : 369,477 = 369,477 : x
  2. Step 2: Convert to fraction form
    232,974/369,477 = 369,477/x
  3. Step 3: Cross multiply
    232,974x = 369,477 × 369,477
  4. Step 4: Simplify right side
    232,974x = 136,513,253,529
  5. Step 5: Solve for x
    x = 136,513,253,529/232,974
  6. Step 6: Final answer
    x = 585,959.18

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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.