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Finding the Third Proportional to 257,112 and 558,448.50

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Solution

The third proportional to 257,112 and 558,448.50 is: 1,212,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,112 : 558,448.50 = 558,448.50 : x
  2. Step 2: Convert to fraction form
    257,112/558,448.50 = 558,448.50/x
  3. Step 3: Cross multiply
    257,112x = 558,448.50 × 558,448.50
  4. Step 4: Simplify right side
    257,112x = 311,864,727,152.25
  5. Step 5: Solve for x
    x = 311,864,727,152.25/257,112
  6. Step 6: Final answer
    x = 1,212,952.83

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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.