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Finding the Third Proportional to 271,324.69 and 596,777.63

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Solution

The third proportional to 271,324.69 and 596,777.63 is: 1,312,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,324.69 : 596,777.63 = 596,777.63 : x
  2. Step 2: Convert to fraction form
    271,324.69/596,777.63 = 596,777.63/x
  3. Step 3: Cross multiply
    271,324.69x = 596,777.63 × 596,777.63
  4. Step 4: Simplify right side
    271,324.69x = 356,143,533,700.64
  5. Step 5: Solve for x
    x = 356,143,533,700.64/271,324.69
  6. Step 6: Final answer
    x = 1,312,610.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.