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Finding the Third Proportional to 258,685 and 562,932

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Solution

The third proportional to 258,685 and 562,932 is: 1,225,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,685 : 562,932 = 562,932 : x
  2. Step 2: Convert to fraction form
    258,685/562,932 = 562,932/x
  3. Step 3: Cross multiply
    258,685x = 562,932 × 562,932
  4. Step 4: Simplify right side
    258,685x = 316,892,436,624
  5. Step 5: Solve for x
    x = 316,892,436,624/258,685
  6. Step 6: Final answer
    x = 1,225,012.80

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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.