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Finding the Third Proportional to 258,692 and 562,948

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Solution

The third proportional to 258,692 and 562,948 is: 1,225,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,692 : 562,948 = 562,948 : x
  2. Step 2: Convert to fraction form
    258,692/562,948 = 562,948/x
  3. Step 3: Cross multiply
    258,692x = 562,948 × 562,948
  4. Step 4: Simplify right side
    258,692x = 316,910,450,704
  5. Step 5: Solve for x
    x = 316,910,450,704/258,692
  6. Step 6: Final answer
    x = 1,225,049.29

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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.