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Finding the Third Proportional to 265,467 and 562,026

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Solution

The third proportional to 265,467 and 562,026 is: 1,189,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,467 : 562,026 = 562,026 : x
  2. Step 2: Convert to fraction form
    265,467/562,026 = 562,026/x
  3. Step 3: Cross multiply
    265,467x = 562,026 × 562,026
  4. Step 4: Simplify right side
    265,467x = 315,873,224,676
  5. Step 5: Solve for x
    x = 315,873,224,676/265,467
  6. Step 6: Final answer
    x = 1,189,877.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.