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Finding the Third Proportional to 257,833.50 and 567,972

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Solution

The third proportional to 257,833.50 and 567,972 is: 1,251,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,833.50 : 567,972 = 567,972 : x
  2. Step 2: Convert to fraction form
    257,833.50/567,972 = 567,972/x
  3. Step 3: Cross multiply
    257,833.50x = 567,972 × 567,972
  4. Step 4: Simplify right side
    257,833.50x = 322,592,192,784
  5. Step 5: Solve for x
    x = 322,592,192,784/257,833.50
  6. Step 6: Final answer
    x = 1,251,164.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.