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Finding the Third Proportional to 268,372 and 413,610

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Solution

The third proportional to 268,372 and 413,610 is: 637,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,372 : 413,610 = 413,610 : x
  2. Step 2: Convert to fraction form
    268,372/413,610 = 413,610/x
  3. Step 3: Cross multiply
    268,372x = 413,610 × 413,610
  4. Step 4: Simplify right side
    268,372x = 171,073,232,100
  5. Step 5: Solve for x
    x = 171,073,232,100/268,372
  6. Step 6: Final answer
    x = 637,448.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.