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Finding the Third Proportional to 322,465 and 683,344

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Solution

The third proportional to 322,465 and 683,344 is: 1,448,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,465 : 683,344 = 683,344 : x
  2. Step 2: Convert to fraction form
    322,465/683,344 = 683,344/x
  3. Step 3: Cross multiply
    322,465x = 683,344 × 683,344
  4. Step 4: Simplify right side
    322,465x = 466,959,022,336
  5. Step 5: Solve for x
    x = 466,959,022,336/322,465
  6. Step 6: Final answer
    x = 1,448,092.11

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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.