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Finding the Third Proportional to 274,806 and 596,612

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Solution

The third proportional to 274,806 and 596,612 is: 1,295,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,806 : 596,612 = 596,612 : x
  2. Step 2: Convert to fraction form
    274,806/596,612 = 596,612/x
  3. Step 3: Cross multiply
    274,806x = 596,612 × 596,612
  4. Step 4: Simplify right side
    274,806x = 355,945,878,544
  5. Step 5: Solve for x
    x = 355,945,878,544/274,806
  6. Step 6: Final answer
    x = 1,295,262.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.