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Finding the Third Proportional to 271,212 and 590,641.50

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Solution

The third proportional to 271,212 and 590,641.50 is: 1,286,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,212 : 590,641.50 = 590,641.50 : x
  2. Step 2: Convert to fraction form
    271,212/590,641.50 = 590,641.50/x
  3. Step 3: Cross multiply
    271,212x = 590,641.50 × 590,641.50
  4. Step 4: Simplify right side
    271,212x = 348,857,381,522.25
  5. Step 5: Solve for x
    x = 348,857,381,522.25/271,212
  6. Step 6: Final answer
    x = 1,286,290.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.