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Finding the Third Proportional to 322,295 and 683,009

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Solution

The third proportional to 322,295 and 683,009 is: 1,447,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,295 : 683,009 = 683,009 : x
  2. Step 2: Convert to fraction form
    322,295/683,009 = 683,009/x
  3. Step 3: Cross multiply
    322,295x = 683,009 × 683,009
  4. Step 4: Simplify right side
    322,295x = 466,501,294,081
  5. Step 5: Solve for x
    x = 466,501,294,081/322,295
  6. Step 6: Final answer
    x = 1,447,435.72

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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.