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Finding the Third Proportional to 271,699 and 595,886

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Solution

The third proportional to 271,699 and 595,886 is: 1,306,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,699 : 595,886 = 595,886 : x
  2. Step 2: Convert to fraction form
    271,699/595,886 = 595,886/x
  3. Step 3: Cross multiply
    271,699x = 595,886 × 595,886
  4. Step 4: Simplify right side
    271,699x = 355,080,124,996
  5. Step 5: Solve for x
    x = 355,080,124,996/271,699
  6. Step 6: Final answer
    x = 1,306,887.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.