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Finding the Third Proportional to 263,280.38 and 557,938.13

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Solution

The third proportional to 263,280.38 and 557,938.13 is: 1,182,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,280.38 : 557,938.13 = 557,938.13 : x
  2. Step 2: Convert to fraction form
    263,280.38/557,938.13 = 557,938.13/x
  3. Step 3: Cross multiply
    263,280.38x = 557,938.13 × 557,938.13
  4. Step 4: Simplify right side
    263,280.38x = 311,294,951,328.52
  5. Step 5: Solve for x
    x = 311,294,951,328.52/263,280.38
  6. Step 6: Final answer
    x = 1,182,370.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.