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Finding the Third Proportional to 273,449 and 413,952

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Solution

The third proportional to 273,449 and 413,952 is: 626,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,449 : 413,952 = 413,952 : x
  2. Step 2: Convert to fraction form
    273,449/413,952 = 413,952/x
  3. Step 3: Cross multiply
    273,449x = 413,952 × 413,952
  4. Step 4: Simplify right side
    273,449x = 171,356,258,304
  5. Step 5: Solve for x
    x = 171,356,258,304/273,449
  6. Step 6: Final answer
    x = 626,647.96

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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.