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Finding the Third Proportional to 257,071 and 573,758

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Solution

The third proportional to 257,071 and 573,758 is: 1,280,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,071 : 573,758 = 573,758 : x
  2. Step 2: Convert to fraction form
    257,071/573,758 = 573,758/x
  3. Step 3: Cross multiply
    257,071x = 573,758 × 573,758
  4. Step 4: Simplify right side
    257,071x = 329,198,242,564
  5. Step 5: Solve for x
    x = 329,198,242,564/257,071
  6. Step 6: Final answer
    x = 1,280,573.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.