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Finding the Third Proportional to 322,293 and 683,005

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Solution

The third proportional to 322,293 and 683,005 is: 1,447,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,293 : 683,005 = 683,005 : x
  2. Step 2: Convert to fraction form
    322,293/683,005 = 683,005/x
  3. Step 3: Cross multiply
    322,293x = 683,005 × 683,005
  4. Step 4: Simplify right side
    322,293x = 466,495,830,025
  5. Step 5: Solve for x
    x = 466,495,830,025/322,293
  6. Step 6: Final answer
    x = 1,447,427.74

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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.