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Finding the Third Proportional to 265,632.75 and 414,333.56

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Solution

The third proportional to 265,632.75 and 414,333.56 is: 646,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,632.75 : 414,333.56 = 414,333.56 : x
  2. Step 2: Convert to fraction form
    265,632.75/414,333.56 = 414,333.56/x
  3. Step 3: Cross multiply
    265,632.75x = 414,333.56 × 414,333.56
  4. Step 4: Simplify right side
    265,632.75x = 171,672,301,013.94
  5. Step 5: Solve for x
    x = 171,672,301,013.94/265,632.75
  6. Step 6: Final answer
    x = 646,276.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.