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Finding the Third Proportional to 265,151.25 and 572,661

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Solution

The third proportional to 265,151.25 and 572,661 is: 1,236,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,151.25 : 572,661 = 572,661 : x
  2. Step 2: Convert to fraction form
    265,151.25/572,661 = 572,661/x
  3. Step 3: Cross multiply
    265,151.25x = 572,661 × 572,661
  4. Step 4: Simplify right side
    265,151.25x = 327,940,620,921
  5. Step 5: Solve for x
    x = 327,940,620,921/265,151.25
  6. Step 6: Final answer
    x = 1,236,805.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.