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Finding the Third Proportional to 259,516.13 and 557,827.88

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Solution

The third proportional to 259,516.13 and 557,827.88 is: 1,199,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,516.13 : 557,827.88 = 557,827.88 : x
  2. Step 2: Convert to fraction form
    259,516.13/557,827.88 = 557,827.88/x
  3. Step 3: Cross multiply
    259,516.13x = 557,827.88 × 557,827.88
  4. Step 4: Simplify right side
    259,516.13x = 311,171,938,127.02
  5. Step 5: Solve for x
    x = 311,171,938,127.02/259,516.13
  6. Step 6: Final answer
    x = 1,199,046.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.