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Finding the Third Proportional to 262,251 and 574,545

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Solution

The third proportional to 262,251 and 574,545 is: 1,258,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,251 : 574,545 = 574,545 : x
  2. Step 2: Convert to fraction form
    262,251/574,545 = 574,545/x
  3. Step 3: Cross multiply
    262,251x = 574,545 × 574,545
  4. Step 4: Simplify right side
    262,251x = 330,101,957,025
  5. Step 5: Solve for x
    x = 330,101,957,025/262,251
  6. Step 6: Final answer
    x = 1,258,725.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.