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Finding the Third Proportional to 322,380 and 692,336

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Solution

The third proportional to 322,380 and 692,336 is: 1,486,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,380 : 692,336 = 692,336 : x
  2. Step 2: Convert to fraction form
    322,380/692,336 = 692,336/x
  3. Step 3: Cross multiply
    322,380x = 692,336 × 692,336
  4. Step 4: Simplify right side
    322,380x = 479,329,136,896
  5. Step 5: Solve for x
    x = 479,329,136,896/322,380
  6. Step 6: Final answer
    x = 1,486,845.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.