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Finding the Third Proportional to 257,069 and 573,754

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Solution

The third proportional to 257,069 and 573,754 is: 1,280,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069 : 573,754 = 573,754 : x
  2. Step 2: Convert to fraction form
    257,069/573,754 = 573,754/x
  3. Step 3: Cross multiply
    257,069x = 573,754 × 573,754
  4. Step 4: Simplify right side
    257,069x = 329,193,652,516
  5. Step 5: Solve for x
    x = 329,193,652,516/257,069
  6. Step 6: Final answer
    x = 1,280,565.34

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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.