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Finding the Third Proportional to 304,362 and 617,940

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Solution

The third proportional to 304,362 and 617,940 is: 1,254,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,362 : 617,940 = 617,940 : x
  2. Step 2: Convert to fraction form
    304,362/617,940 = 617,940/x
  3. Step 3: Cross multiply
    304,362x = 617,940 × 617,940
  4. Step 4: Simplify right side
    304,362x = 381,849,843,600
  5. Step 5: Solve for x
    x = 381,849,843,600/304,362
  6. Step 6: Final answer
    x = 1,254,591.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.