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Finding the Third Proportional to 327,196 and 692,118

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Solution

The third proportional to 327,196 and 692,118 is: 1,464,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,196 : 692,118 = 692,118 : x
  2. Step 2: Convert to fraction form
    327,196/692,118 = 692,118/x
  3. Step 3: Cross multiply
    327,196x = 692,118 × 692,118
  4. Step 4: Simplify right side
    327,196x = 479,027,325,924
  5. Step 5: Solve for x
    x = 479,027,325,924/327,196
  6. Step 6: Final answer
    x = 1,464,037.84

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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.