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Finding the Third Proportional to 271,332 and 399,141

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Solution

The third proportional to 271,332 and 399,141 is: 587,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,332 : 399,141 = 399,141 : x
  2. Step 2: Convert to fraction form
    271,332/399,141 = 399,141/x
  3. Step 3: Cross multiply
    271,332x = 399,141 × 399,141
  4. Step 4: Simplify right side
    271,332x = 159,313,537,881
  5. Step 5: Solve for x
    x = 159,313,537,881/271,332
  6. Step 6: Final answer
    x = 587,153.52

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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.