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Finding the Third Proportional to 257,583 and 378,915

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Solution

The third proportional to 257,583 and 378,915 is: 557,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,583 : 378,915 = 378,915 : x
  2. Step 2: Convert to fraction form
    257,583/378,915 = 378,915/x
  3. Step 3: Cross multiply
    257,583x = 378,915 × 378,915
  4. Step 4: Simplify right side
    257,583x = 143,576,577,225
  5. Step 5: Solve for x
    x = 143,576,577,225/257,583
  6. Step 6: Final answer
    x = 557,399.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.