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Finding the Third Proportional to 207,826 and 322,432

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Solution

The third proportional to 207,826 and 322,432 is: 500,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,826 : 322,432 = 322,432 : x
  2. Step 2: Convert to fraction form
    207,826/322,432 = 322,432/x
  3. Step 3: Cross multiply
    207,826x = 322,432 × 322,432
  4. Step 4: Simplify right side
    207,826x = 103,962,394,624
  5. Step 5: Solve for x
    x = 103,962,394,624/207,826
  6. Step 6: Final answer
    x = 500,237.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.