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Finding the Third Proportional to 245,090.81 and 512,628.75

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Solution

The third proportional to 245,090.81 and 512,628.75 is: 1,072,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,090.81 : 512,628.75 = 512,628.75 : x
  2. Step 2: Convert to fraction form
    245,090.81/512,628.75 = 512,628.75/x
  3. Step 3: Cross multiply
    245,090.81x = 512,628.75 × 512,628.75
  4. Step 4: Simplify right side
    245,090.81x = 262,788,235,326.56
  5. Step 5: Solve for x
    x = 262,788,235,326.56/245,090.81
  6. Step 6: Final answer
    x = 1,072,207.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.