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Finding the Third Proportional to 271,776 and 399,669

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Solution

The third proportional to 271,776 and 399,669 is: 587,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,776 : 399,669 = 399,669 : x
  2. Step 2: Convert to fraction form
    271,776/399,669 = 399,669/x
  3. Step 3: Cross multiply
    271,776x = 399,669 × 399,669
  4. Step 4: Simplify right side
    271,776x = 159,735,309,561
  5. Step 5: Solve for x
    x = 159,735,309,561/271,776
  6. Step 6: Final answer
    x = 587,746.19

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Why These Related Problems?

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