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Finding the Third Proportional to 271,008 and 572,539.50

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Solution

The third proportional to 271,008 and 572,539.50 is: 1,209,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,008 : 572,539.50 = 572,539.50 : x
  2. Step 2: Convert to fraction form
    271,008/572,539.50 = 572,539.50/x
  3. Step 3: Cross multiply
    271,008x = 572,539.50 × 572,539.50
  4. Step 4: Simplify right side
    271,008x = 327,801,479,060.25
  5. Step 5: Solve for x
    x = 327,801,479,060.25/271,008
  6. Step 6: Final answer
    x = 1,209,563.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.