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Finding the Third Proportional to 271,435.25 and 596,407

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Solution

The third proportional to 271,435.25 and 596,407 is: 1,310,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,435.25 : 596,407 = 596,407 : x
  2. Step 2: Convert to fraction form
    271,435.25/596,407 = 596,407/x
  3. Step 3: Cross multiply
    271,435.25x = 596,407 × 596,407
  4. Step 4: Simplify right side
    271,435.25x = 355,701,309,649
  5. Step 5: Solve for x
    x = 355,701,309,649/271,435.25
  6. Step 6: Final answer
    x = 1,310,446.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.