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Finding the Third Proportional to 322,172 and 697,441

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Solution

The third proportional to 322,172 and 697,441 is: 1,509,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,172 : 697,441 = 697,441 : x
  2. Step 2: Convert to fraction form
    322,172/697,441 = 697,441/x
  3. Step 3: Cross multiply
    322,172x = 697,441 × 697,441
  4. Step 4: Simplify right side
    322,172x = 486,423,948,481
  5. Step 5: Solve for x
    x = 486,423,948,481/322,172
  6. Step 6: Final answer
    x = 1,509,826.89

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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.