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Finding the Third Proportional to 272,610 and 413,820

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Solution

The third proportional to 272,610 and 413,820 is: 628,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,610 : 413,820 = 413,820 : x
  2. Step 2: Convert to fraction form
    272,610/413,820 = 413,820/x
  3. Step 3: Cross multiply
    272,610x = 413,820 × 413,820
  4. Step 4: Simplify right side
    272,610x = 171,246,992,400
  5. Step 5: Solve for x
    x = 171,246,992,400/272,610
  6. Step 6: Final answer
    x = 628,175.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.