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Finding the Third Proportional to 258,676 and 562,914

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Solution

The third proportional to 258,676 and 562,914 is: 1,224,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,676 : 562,914 = 562,914 : x
  2. Step 2: Convert to fraction form
    258,676/562,914 = 562,914/x
  3. Step 3: Cross multiply
    258,676x = 562,914 × 562,914
  4. Step 4: Simplify right side
    258,676x = 316,872,171,396
  5. Step 5: Solve for x
    x = 316,872,171,396/258,676
  6. Step 6: Final answer
    x = 1,224,977.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.