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Finding the Third Proportional to 271,665 and 590,002.50

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Solution

The third proportional to 271,665 and 590,002.50 is: 1,281,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,665 : 590,002.50 = 590,002.50 : x
  2. Step 2: Convert to fraction form
    271,665/590,002.50 = 590,002.50/x
  3. Step 3: Cross multiply
    271,665x = 590,002.50 × 590,002.50
  4. Step 4: Simplify right side
    271,665x = 348,102,950,006.25
  5. Step 5: Solve for x
    x = 348,102,950,006.25/271,665
  6. Step 6: Final answer
    x = 1,281,368.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.