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Finding the Third Proportional to 271,435 and 399,043.50

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Solution

The third proportional to 271,435 and 399,043.50 is: 586,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,435 : 399,043.50 = 399,043.50 : x
  2. Step 2: Convert to fraction form
    271,435/399,043.50 = 399,043.50/x
  3. Step 3: Cross multiply
    271,435x = 399,043.50 × 399,043.50
  4. Step 4: Simplify right side
    271,435x = 159,235,714,892.25
  5. Step 5: Solve for x
    x = 159,235,714,892.25/271,435
  6. Step 6: Final answer
    x = 586,644.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.