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Finding the Third Proportional to 322,168 and 697,432

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Solution

The third proportional to 322,168 and 697,432 is: 1,509,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,168 : 697,432 = 697,432 : x
  2. Step 2: Convert to fraction form
    322,168/697,432 = 697,432/x
  3. Step 3: Cross multiply
    322,168x = 697,432 × 697,432
  4. Step 4: Simplify right side
    322,168x = 486,411,394,624
  5. Step 5: Solve for x
    x = 486,411,394,624/322,168
  6. Step 6: Final answer
    x = 1,509,806.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.