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Finding the Third Proportional to 193,460 and 404,416

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Solution

The third proportional to 193,460 and 404,416 is: 845,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,460 : 404,416 = 404,416 : x
  2. Step 2: Convert to fraction form
    193,460/404,416 = 404,416/x
  3. Step 3: Cross multiply
    193,460x = 404,416 × 404,416
  4. Step 4: Simplify right side
    193,460x = 163,552,301,056
  5. Step 5: Solve for x
    x = 163,552,301,056/193,460
  6. Step 6: Final answer
    x = 845,406.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.