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Finding the Third Proportional to 257,520.75 and 559,372.88

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Solution

The third proportional to 257,520.75 and 559,372.88 is: 1,215,040.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,520.75 : 559,372.88 = 559,372.88 : x
  2. Step 2: Convert to fraction form
    257,520.75/559,372.88 = 559,372.88/x
  3. Step 3: Cross multiply
    257,520.75x = 559,372.88 × 559,372.88
  4. Step 4: Simplify right side
    257,520.75x = 312,898,013,285.77
  5. Step 5: Solve for x
    x = 312,898,013,285.77/257,520.75
  6. Step 6: Final answer
    x = 1,215,040.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.