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Finding the Third Proportional to 271,477.50 and 596,262

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Solution

The third proportional to 271,477.50 and 596,262 is: 1,309,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,477.50 : 596,262 = 596,262 : x
  2. Step 2: Convert to fraction form
    271,477.50/596,262 = 596,262/x
  3. Step 3: Cross multiply
    271,477.50x = 596,262 × 596,262
  4. Step 4: Simplify right side
    271,477.50x = 355,528,372,644
  5. Step 5: Solve for x
    x = 355,528,372,644/271,477.50
  6. Step 6: Final answer
    x = 1,309,605.30

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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.