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Finding the Third Proportional to 265,975 and 577,161

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Solution

The third proportional to 265,975 and 577,161 is: 1,252,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,975 : 577,161 = 577,161 : x
  2. Step 2: Convert to fraction form
    265,975/577,161 = 577,161/x
  3. Step 3: Cross multiply
    265,975x = 577,161 × 577,161
  4. Step 4: Simplify right side
    265,975x = 333,114,819,921
  5. Step 5: Solve for x
    x = 333,114,819,921/265,975
  6. Step 6: Final answer
    x = 1,252,429.06

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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.