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Finding the Third Proportional to 257,464.13 and 538,455.38

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Solution

The third proportional to 257,464.13 and 538,455.38 is: 1,126,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,464.13 : 538,455.38 = 538,455.38 : x
  2. Step 2: Convert to fraction form
    257,464.13/538,455.38 = 538,455.38/x
  3. Step 3: Cross multiply
    257,464.13x = 538,455.38 × 538,455.38
  4. Step 4: Simplify right side
    257,464.13x = 289,934,190,866.39
  5. Step 5: Solve for x
    x = 289,934,190,866.39/257,464.13
  6. Step 6: Final answer
    x = 1,126,114.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.