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Finding the Third Proportional to 265,969 and 577,150

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Solution

The third proportional to 265,969 and 577,150 is: 1,252,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,969 : 577,150 = 577,150 : x
  2. Step 2: Convert to fraction form
    265,969/577,150 = 577,150/x
  3. Step 3: Cross multiply
    265,969x = 577,150 × 577,150
  4. Step 4: Simplify right side
    265,969x = 333,102,122,500
  5. Step 5: Solve for x
    x = 333,102,122,500/265,969
  6. Step 6: Final answer
    x = 1,252,409.58

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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.