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Finding the Third Proportional to 322,292.63 and 683,004.38

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Solution

The third proportional to 322,292.63 and 683,004.38 is: 1,447,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,292.63 : 683,004.38 = 683,004.38 : x
  2. Step 2: Convert to fraction form
    322,292.63/683,004.38 = 683,004.38/x
  3. Step 3: Cross multiply
    322,292.63x = 683,004.38 × 683,004.38
  4. Step 4: Simplify right side
    322,292.63x = 466,494,976,269.14
  5. Step 5: Solve for x
    x = 466,494,976,269.14/322,292.63
  6. Step 6: Final answer
    x = 1,447,426.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.