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Finding the Third Proportional to 257,569.50 and 558,015

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Solution

The third proportional to 257,569.50 and 558,015 is: 1,208,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,569.50 : 558,015 = 558,015 : x
  2. Step 2: Convert to fraction form
    257,569.50/558,015 = 558,015/x
  3. Step 3: Cross multiply
    257,569.50x = 558,015 × 558,015
  4. Step 4: Simplify right side
    257,569.50x = 311,380,740,225
  5. Step 5: Solve for x
    x = 311,380,740,225/257,569.50
  6. Step 6: Final answer
    x = 1,208,919.30

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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.