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Finding the Third Proportional to 257,856.19 and 557,191.69

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Solution

The third proportional to 257,856.19 and 557,191.69 is: 1,204,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.19 : 557,191.69 = 557,191.69 : x
  2. Step 2: Convert to fraction form
    257,856.19/557,191.69 = 557,191.69/x
  3. Step 3: Cross multiply
    257,856.19x = 557,191.69 × 557,191.69
  4. Step 4: Simplify right side
    257,856.19x = 310,462,576,619.10
  5. Step 5: Solve for x
    x = 310,462,576,619.10/257,856.19
  6. Step 6: Final answer
    x = 1,204,014.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.