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Finding the Third Proportional to 322,384 and 692,344

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Solution

The third proportional to 322,384 and 692,344 is: 1,486,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,384 : 692,344 = 692,344 : x
  2. Step 2: Convert to fraction form
    322,384/692,344 = 692,344/x
  3. Step 3: Cross multiply
    322,384x = 692,344 × 692,344
  4. Step 4: Simplify right side
    322,384x = 479,340,214,336
  5. Step 5: Solve for x
    x = 479,340,214,336/322,384
  6. Step 6: Final answer
    x = 1,486,861.05

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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.