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Finding the Third Proportional to 257,538.75 and 557,979

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Solution

The third proportional to 257,538.75 and 557,979 is: 1,208,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,538.75 : 557,979 = 557,979 : x
  2. Step 2: Convert to fraction form
    257,538.75/557,979 = 557,979/x
  3. Step 3: Cross multiply
    257,538.75x = 557,979 × 557,979
  4. Step 4: Simplify right side
    257,538.75x = 311,340,564,441
  5. Step 5: Solve for x
    x = 311,340,564,441/257,538.75
  6. Step 6: Final answer
    x = 1,208,907.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.