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Finding the Third Proportional to 257,004.13 and 556,911.25

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Solution

The third proportional to 257,004.13 and 556,911.25 is: 1,206,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,004.13 : 556,911.25 = 556,911.25 : x
  2. Step 2: Convert to fraction form
    257,004.13/556,911.25 = 556,911.25/x
  3. Step 3: Cross multiply
    257,004.13x = 556,911.25 × 556,911.25
  4. Step 4: Simplify right side
    257,004.13x = 310,150,140,376.56
  5. Step 5: Solve for x
    x = 310,150,140,376.56/257,004.13
  6. Step 6: Final answer
    x = 1,206,790.52

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Why These Related Problems?

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