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Finding the Third Proportional to 273,608 and 414,048

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Solution

The third proportional to 273,608 and 414,048 is: 626,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,608 : 414,048 = 414,048 : x
  2. Step 2: Convert to fraction form
    273,608/414,048 = 414,048/x
  3. Step 3: Cross multiply
    273,608x = 414,048 × 414,048
  4. Step 4: Simplify right side
    273,608x = 171,435,746,304
  5. Step 5: Solve for x
    x = 171,435,746,304/273,608
  6. Step 6: Final answer
    x = 626,574.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.