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Finding the Third Proportional to 274,820 and 596,632

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Solution

The third proportional to 274,820 and 596,632 is: 1,295,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,820 : 596,632 = 596,632 : x
  2. Step 2: Convert to fraction form
    274,820/596,632 = 596,632/x
  3. Step 3: Cross multiply
    274,820x = 596,632 × 596,632
  4. Step 4: Simplify right side
    274,820x = 355,969,743,424
  5. Step 5: Solve for x
    x = 355,969,743,424/274,820
  6. Step 6: Final answer
    x = 1,295,283.25

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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.